Question

Find the roots of 10xsquare - 3x - 1 = 0 by the method of completing the square ?​

Answer 1

Answer:

x = 1/2 , - 1/5

Step-by-step explanation:

10x² - 3x - 1 = 0

10x² - 3x = 1

multiply by 10

100x² - 30x = 10

(10x)² - 2*10x*3/2 + (3/2)² = 10 + (3/2)²

(10x - 3/2)² = 49/4

10x - 3/2 = √49/4

10x - 3/2 = ± 7/2

10x - 3/2 = 7/2   |  10x - 3/2 = - 7/2

10x = 10/2          |  10x = -4/2

x = 1/2                |  x = -1/5

x = 1/2 , - 1/5