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

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)

One of the roots of equation 5m² + 2m + k = 0 is Complete the following activity to find the value of 'k'.

Solve the following quadratic equation by factorization.

x² – 15x + 54 = 0