Question

The roots of the equation x² + 3x – 10 = 0 are ______.

Options

• 2, –5

• –2, 5

• 2, 5

• –2, –5

Answer 1

The roots of the equation x² + 3x – 10 = 0 are 2, –5.

Explanation:

x² + 3x – 10 = 0

`\implies` x² + 5x – 2x – 10 = 0

`\implies` x(x + 5) –2 (x + 5) = 0

`\implies` (x – 2) (x + 5) = 0

`\implies` x = 2 or x = – 5