Question

Find the roots of the following quadratic equations by the method of completing the<br />square.<br />2x+x -4 = 0​

Answer 1

Answer:

√33 + 1/4 and -(√33 + 1/4)

Step-by-step explanation:

You put a wrong equation:

It's should be written as,

2x² + x - 4= 0

x² + x/2 - 4/2= 0

(x + 1/4)² - (1/4)² - 4/2= 0

(x + 1/4)² - 1/16 - 4/2= 0

(x + 1/4)² -(1 + 32/16)= 0

(x + 1/4)² - 33/16= 0

(x + 1/4)² = 33/16

x + 1/4 = ±√33/√16

x + 1/4 = ±√33/4

x = ± √33/4 - 1/4

x = +√33 - 1/4 or - √33/4 - 1/4

x = √33 + 1/4 or -(√33 + 1/4)