## One of the roots of equation 5m2 + 2m + k = 0 is -7/5. Complete the following activity to find the value of ‘k’.

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

## 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 Solution: (2) 2m2 – 5m = 0, m = 2, 5/ 2 Solution: ∴ m = 2 is not root of the equation and m = 5/2 is a root of the equation.

## 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 Given2y = 10 – y22y + y2 – 10 = 0y2 + 2y – 10 = 0;a = 1, b = 2, c = -10 (2) (x-1)2 = 2x + 3 Solution: (3) x2 + 5x = – (3-x) Solution: (4) 3m2 = 2m2 – 9 Solution: (5) P (3 + 6p) = – 5 […]

## Decide which of the following are quadratic equations.

(1) x2 + 5x – 2 = 0 Solution:x2 + 5x – 2 = 0 is a quadratic equation because it is the form of ax2 + bx + c = 0 and it has degree 2. (2) y2 = 5y – 10 Solution:y2 = 5y – 10 is a quadratic equation because it is the form of ax2 + bx + […]

## Write any two quadratic equations.

Solution: Two quadratic equations are a2 + 16 = 0 and x2 + 2x + 6 = 0