Question

Help pls

If the quadratic formula is used to solve 2x2 = 8x - 3, what are the solutions?

Answer 1

Just have to make 0 one side then use this:
http://www.purplemath.com/modules/quadform.htm

Answer 2

The solutions are same with any method.

Answer 3

\(\large\color{blue}{ \rm 2x^2= 8x - 3}\)
\(\large\color{blue}{ \rm 2x^2 - 8x =- 3}\)
\(\large\color{blue}{ \rm 2x^2 - 8x +8=- 3+8}\)
\(\large\color{blue}{ \rm 2x^2 - 8x +8=5}\)
\(\large\color{blue}{ \rm 2(x^2 - 4x +4)=5}\)
\(\large\color{blue}{ \rm (x^2 - 4x +4)=5/2}\)
\(\large\color{blue}{ \rm (x-2)^2=5/2}\)
\(\large\color{blue}{ \rm (x-2)^2=10/4}\)
\(\large\color{blue}{ \rm x-2=±\sqrt{10}/2}\)
\(\large\color{blue}{ \rm x=2±\sqrt{10}/2}\)