Question

The roots of a quadratic equation are 5 and –2. Then, the equation is ______.

Options

• x² – 3x + 10 = 0

• x² – 3x – 10 = 0

• x² + 3x – 10 = 0

• x² + 3x + 10 = 0

Answer 1

The roots of a quadratic equation are 5 and –2. Then, the equation is x² – 3x – 10 = 0.

Explanation:

It is given that the roots of the quadratic equation are 5 and –2.

Then, the equation is: 

x² – (5 – 2)x + 5 × (–2) = 0 

⇒ x² – 3x – 10 = 0