Question

In the following, show that the given numbers are the solution of the given equation:

2x² + 5x − 3 = 0; x = −3

Answer 1

Given:

2x² + 5x − 3 = 0

Verification

Substitute x = −3 into the left-hand side (LHS):

2(−3)² + 5(−3) − 3

= 2(9) − 15 − 3

= 18 − 15 − 3

= 0

Since the LHS equals the RHS (0),

x = −3 is a solution of 2x² + 5x − 3 = 0