Question

Find the roots of the following quadratic (if they exist) by the method of completing the square.
2x²+x-4=0

Answer 1

Step-by-step explanation:

this is the anwer pls follow

Answer 2

x = (√33 -1)/4 ; - ( √33 +1)/4

Step-by-step explanation:

2x² + x -4 = 0

Dividing by 2, we get x² + x/2 - 2 = 0

Adding and subtracting (1/4)², we get:

 x² + x/2 -2 + (1/4)² - (1/4)² = 0

(x + 1/4)² - 2 - 1/16 = 0

(x + 1/4)² = 2 + 1/16

 (x + 1/4)² = 33/16

Therefor x + 1/4 = +-√33/4

Solving x + 1/4 = + √33/4, we get x = (√33 -1)/4

Solving x + 1/4 = -√33/4, we get x = -(√33+1)/4