Question

Which of the following is a solution of x² + 5x-2? (2 points)

5+√33
2
St√17
2
-5+√33
2
-5± √17

Answer 1

(- 5 ± √33) / 2

Explanation:

x² + 5x - 2

Here,

a = 1

b = 5

c = - 2

Determinant (D) = b² - 4ac

D = 5² - 4 × 1 × (- 2)

= 5² - (4) (- 2)

= 5² - (- 8)

= 25 + 8

D = 33

x = (- b ± √D) / 2a

= (- 5 ± √33) / 2( 1 )

x = (- 5 ± √33) / 2