4x^2+5x-2=0 use quadratic formula to solve for x

Question

use the quadratic formula to solve for x. if there is more than one solution, separate them with commas.

Answer 1

Use the coefficients of each variable to solve

a = coefficient of x² = 4

b = coefficient of x¹ = 5

c = coefficient of x⁰ = -2

-b ± √ ( b² - 4ac )

2a

-5 ± √ ( 25 - 4 x 4 x -2 )

2x4

-5 ± √ ( 25 + 32 )

8

-5 ± √ (57)

8

Answers:

-5 + √ 57

8

and

-5 - √ 57

8