Question

13

Find a quadratic equation that has solutions x = 0 and x = 5
Give your answer without brackets.
Find a quadratic equation that has two solutions x = 7
Give your answer without brackets.

Answer 1

Explanation:

(13)

x = 0 and x = 5 are roots.

Required quadratic equation is given as:

`{x}^(2) - (0 + 5)x + 0 * 5 = 0 \\ \therefore \: {x}^(2) - 5x + 0 = 0 \\ \red { \boxed{ \therefore \: {x}^(2) - 5x = 0}} \\ is \: the \: required \: quadratic \: equation.`