Question

Solve the quadratic equation 2x
2
– 7x + 5 = 0 by
completing the square method.

Answer 1

2x^2 - 7x + 5 = 0

2x^2 -7x = -5

x^2 - 3.5x = -2.5

x^2 - 3.5x + (1/2 × 1.75 )^2 = -2.5 + (1/2 × 1.75)^2

( x - 3.5 )^2 = 0.5625

(x - 3.5)^2 = 0.5625

$\sqrt{(x-3.5){^2}} = \sqrt{0.5625}$

x = ±0.75 + 3.5

x = 4.25 or x = 2.75