173 results for "root".

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• 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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• 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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• 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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• 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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• 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. Non-calculator. Advice is given.

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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. Non-calculator. Advice is given.

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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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• 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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• 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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• Complete the square and find solutions

Solve a quadratic equation by completing the square. The roots are not pretty!

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