Question

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!! Solve for x. 2x2 − 8x + 5 = 0

Answer 1

$2x^2-8x+5=0\ \ \ \ |-5\\\\2x^2-8x=-5\ \ \ \ |:2\\\\x^2-4x=-2.5\\\\x^2-2\cdot x\cdot2=-2.5\ \ \ \ |+2^2\\\\\underbrace{x^2-2\cdot x\cdot2+2^2}_{(a-b)^2=a^2-2ab+b^2}=-2.5+2^2\\\\(x-2)^2=1.5\to x-2=\pm\sqrt{1.5}\ \ \ |+2\\\\\boxed{x=2-\sqrt{1.5}\ or\ x=2+\sqrt{1.5}}$