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

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.

Several quadratics are given and students are asked to complete the square.

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

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

Several quadratics are given and students are asked to complete the square.

Several quadratics are given and students are asked to complete the square.

Calculating the square root of a complex number using De Moivre.

Ask for the square of each number from 0 to 15, in random order.

The shuffle function puts a list in random order.

Calculating the square root of a complex number using De Moivre.

Working with powers

Algebra:  Quadratic Factorisation.

              Coefficient of squared term is 1.

Integration by parts, trigonometric integrals, partial fractions, complete the square

rebel

rebelmaths

Simple questions on square numbers, square roots, cube number, cube roots and prime numbers.

Simple questions on square numbers, square roots, cube number, cube roots and prime numbers.

Find $c$ and $d$ such that $x^2+ax+b = (x+c)^2+d$.

Section 2.2 of M1 book. Using v squared formula

Calculate square root

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Two questions on completing the square. The first asks you to express $x^2+ax+b$ in the form $(x+c)^2+d$ for suitable numbers $c$ and $d$. The second asks you to complete the square on the quadratic of the form $ax^2+bx+c$ and then find its roots.

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Find $c$ and $d$ such that $x^2+ax+b = (x+c)^2+d$.