Question

What are the solutions of this quadratic equation? x2 + 8x + 3 = 0

Answer 1

x = − 4 ± √ 19

Answer 2

-4 + √13 ; -4 - √13

Explanation:

x² + 8x + 3 = 0

(x² + 2(x)(4) + 4²) - 4² + 3 = 0

(x + 4)² -16 + 3 = 0

(x + 4)² = 13

x + 4 = √13

x = -4 + √13

x + 4 = -√13

x = -4 - √13