Question

solve the following quadratic equations by completing the square method
1) x2+x-20. 0​

Answer 1

Answer:

- 5, 4

Step-by-step explanation:

x² + x - 20 = 0

(x² + 2 × 1/2 × x + 1/4) - 1/4 - 20 = 0

(x + 1/2)² - (81/4) =0

(x + 1/2)² - (9/2)² = 0

(x + 1/2 - 9/2)(x + 1/2 + 9/2) = 0

(x - 4)(x + 5) = 0

$x_{1}$ = 4 , $x_{2}$ = - 5