Question

If the sum of the roots of a quadratic equation is 5 and the product of the roots is also 5, then the equation is:

Options

• x² + 10x + 5 = 0

• x² – 5x + 5 = 0

• x² + 5x – 5 = 0

• x² – 5x + 10 = 0

Answer 1

x² – 5x + 5 = 0

Explanation:

For a quadratic equation ax² + bx + c = 0,

sum of roots = −ba

product of roots = ca

sum of roots = 5 = −ba

product of roots = 5 = ca,

Thus, quadratic equation is x² − 5x + 5 = 0