Write any two quadratic equations.

Decide which of the following are quadratic equations.

(1) x² + 5x – 2 = 0

(2) y² = 5y - 10

Write the following equations in the form ax² + bx + c = 0, then write the values of a, b, c for each equation.

(1) 2y = 10 – y²

(2) (x-1)² = 2x + 3

(3) x² + 5x = - (3-x)

(4) 3m² = 2m² - 9

(5) P(3 + 6p) = - 5

(6) x² – 9 = 13

Determine whether the values given against each of the quadratic equation are the roots of the equation.

(1) x² + 4x – 5 = 0, x = 1, -1

(2)

Find k if x = 3 is a root of equation kx² – 10x + 3 = 0.