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

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.

Solve the following quadratic equation by factorization.

x² – 15x + 54 = 0

Solve the following quadratic equation by factorization.

x² + x – 20 = 0