Question

4X^2=16X-14 SOLVE THE QUADRATIC EQUATION BY COMPLETING THE SQUARE

Answer 1

4x^2-16x=-14 divide by 4
x^2-4x=-14/4 Add half of the x coefficient squared to both sides
x^2-4x+4=-14/4+4
(x-2)^2=-14+16/4 get the square
x-2=sqrt(2/4) take square root on both sides
x-2=+1/sqrt(2) x-2=-1/sqrt(2)
x=2+1/sqrt(2) x=2-1/sqrt(2)
done!