Question

4x^2-12x+7=0
solve the problem with completing square method.​

Answer 1

$4 {x}^{2} - 12x + 7 = 0 \\ {(2x)}^{2} - 2 \times 2x \times 3 + {(3)}^{2} - 9 + 7 = 0 \\ {(2x - 3)}^{2} - 2 = 0 \\ {(2x - 3)}^{2} = 2 \\ (2x - 3) = \sqrt{2} \\ 2x =( \sqrt{2} - 3) \\x = \frac{( \sqrt{2} - 3) }{2}$

Answer:

x=(√2-3)/2 is the right answer.