173 results for "root".

MATH6058 Factorising Quadratic Equations with $x^2$ Coefficients of 1
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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Last modified 14/10/2019 09:42
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Maria's copy of Roots of a quartic real polynomial
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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Last modified 10/10/2019 13:43
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Andrew's copy of Complete the square and find solutions
Solve a quadratic equation by completing the square. The roots are not pretty!
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Last modified 25/09/2019 13:38
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Roots of a cubic real polynomial
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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Last modified 16/09/2019 21:58
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Number of roots and stationary points of a graph
A graph (of a cubic) is given. The question is to determine the number of roots and number of stationary points the graph has. Noncalculator. Advice is given.
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Last modified 11/09/2019 22:19
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Thomas's copy of Nick's copy of Differentiation, graphs: Number of roots and stationary points of a graph
A graph (of a cubic) is given. The question is to determine the number of roots and number of stationary points the graph has. Noncalculator. Advice is given.
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Last modified 11/09/2019 22:19
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Solve Equations of the Form $ax^2 +bx+c=0$
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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Last modified 11/09/2019 22:18
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Completing the square and finding roots of a quadratic equation
Solve a quadratic equation by completing the square. The roots are not pretty!
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Last modified 11/09/2019 13:51
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Diff: Quotient rule  differentiate linear over square root
The derivative of $\displaystyle \frac{ax+b}{\sqrt{cx+d}}$ is $\displaystyle \frac{g(x)}{2(cx+d)^{3/2}}$. Find $g(x)$.
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Last modified 11/09/2019 11:55
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Complete the square and find solutions
Solve a quadratic equation by completing the square. The roots are not pretty!
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Last modified 13/08/2019 16:36
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