What is the solution set of 2x² + x = 15?

Solution:

Given quadratic equation is

2x² + x = 15

= 2x² + x - 15 = 0

This is a quadratic equation, hence we use quadratic formula to find roots

x = -b ± sqrt(b² - 4ac) /2a

Here a = 2, b = 1, c = -15

x = -1 ±√(1²- 4(2)(-15)) /2(2)

x = -1 ± 11/4

x = -12/4, 10/4

Therefore, the solution set is (-3, 2.5)

What is the solution set of 2x² + x = 15?

Summary:

The solution set of 2x² + x = 15 is -3, 2.5