213 results for "root".
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Question in MESH
Simple questions on square numbers, square roots, cube number, cube roots and prime numbers.
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Question in How-tos
The student is asked to give the roots of a quadratic equation. They should be able to enter the numbers in any order, and each correct number should earn a mark.
When there's only one root, the student can only fill in one of the answer fields.
This is implemented with a gap-fill with two number entry gaps. The gaps have a custom marking algorithm to allow an empty answer. The gap-fill considers the student's two answers as a set, and compares with the set of correct answers.
The marking corresponds to this table:
There is one root There are two roots Student gives one correct root 100% 50%, "The root you gave is correct, but there is another one." Student gives two correct roots impossible 100% Student gives one incorrect root 0% 0% Student gives one incorrect, one correct root 50% "One of the numbers you gave is not a root". 50% "One of the numbers you gave is not a root". Student gives two incorrect roots 0% 0% -
Question in HELM books
Rearrange a formula with a square root to make a variable under the root the subject.
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Question in HELM books
Rearrange a complex formula involving squares, square roots, fractions and additions. This is a fixed question with no randomisation.
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Question in HELM books
evaluate sqrt(x/z) where x and z are random positive decimals.
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Question in Functions
Given a randomised square root function select the possible ways of writing the domain of the function.
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Question in Musa's workspace
A graph (of a cubic) is given. The question is to determine the number of roots and number of stationary points the graph has. Non-calculator. Advice is given.
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Question in Musa's workspace
A graph (of a cubic) is given. The question is to determine the number of roots and number of stationary points the graph has. Non-calculator. Advice is given.
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Question in Musa's workspace
Factorise three quadratic equations of the form $x^2+bx+c$.
The first has two negative roots, the second has one negative and one positive, and the third is the difference of two squares.
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Question in Yvonne's workspace
Factorise three quadratic equations of the form $x^2+bx+c$.
The first has two negative roots, the second has one negative and one positive, and the third is the difference of two squares.
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Question in Content created by Newcastle University
Find modulus and argument of the complex number $z_1$ and find the $n$th roots of $z_1$ where $n=5,\;6$ or $7$.
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Question in Yvonne's workspace
Factorise three quadratic equations of the form $x^2+bx+c$.
The first has two negative roots, the second has one negative and one positive, and the third is the difference of two squares.
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Question in Content created by Newcastle University
Using a given list of four complex numbers, find by inspection the one that is a root of a given cubic real polynomial and hence find the other roots.
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Question in Shaheen's workspace
No description given
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Question in WM175 ASSESSMENT 1
Given two complex numbers, find by inspection the one that is a root of a given quartic real polynomial and hence find the other roots.
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Question in MASH Bath: Question Bank
Determining the number of real roots a quadratic equation has by evaluating and interpreting the discriminant.
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Question in Ed's workspace
Factorise three quadratic equations of the form $x^2+bx+c$.
The first has two negative roots, the second has one negative and one positive, and the third is the difference of two squares.
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Question in Ed's workspace
Factorise a quadratic equation where the coefficient of the $x^2$ term is greater than 1 and then write down the roots of the equation
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Question in Ed's workspace
Factorise a quadratic equation where the coefficient of the $x^2$ term is greater than 1 and then write down the roots of the equation
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Ugur's copy of Ugur's copy of Using the Quadratic Formula to Solve Equations of the Form $ax^2 +bx+c=0$ Ready to useQuestion in Ugur's workspace
Apply the quadratic formula to find the roots of a given equation. The quadratic formula is given in the steps if the student requires it.
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Question in NCL MAS2707
Consider a binary tree with $2^n$ nodes.
We give generators for the isomorphisms of the tree: at each non-leaf vertex, swap the branches descending from that node.
- What is the action of a given word?
- Write a word which produces the required isomorphism
- Which generators commute?
- What is the order of each generator?
- Write one of the (non-root) generators in terms of the others.
- Which permutations of the leaves are possible?
- What is the order of the group of isomorphisms?
- What is the order of the quotient group obtained by identifying all the leaves of one branch?
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Question in NC Math 4
No description given
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Exam (2 questions) in .Algebra
Identify co-efficients, then use quadratic formula to find roots.
All set to be distinct and real. Some can be non-integer (0.5 steps)
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Question in .Algebra
Solve quadratic equations (non-simple case, two real, discrete integer roots) using the formula.
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Question in .Algebra
Solve quadratic equations (non-simple case, two real, discrete roots) using the formula. Some, random, non integer roots.
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Exam (3 questions) in .Algebra
Calculate discriminant of quadratic equations and use to determine number/nature of roots.
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Question in .Algebra
Calculation of quadratic discriminants.
State nature of roots.
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Question in .Algebra
Calculation of quadratic discriminants.
State nature of roots.
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Question in .Algebra
Calculation of quadratic discriminants.
State nature of roots.
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Question in .Algebra
Questions asking for the factoring of simple case (a=1)
Then using factors to find roots.