Question

Solve by the quadratic formula: x^2= 6x-4

Answer 1

3
`\pm`
`√(5)`.

Explanation:

x^2 = 6x - 4

x^2 - 6x + 4 = 0

Now, we can use the quadratic formula to solve.

`(-b\pm√(b^2 - 4ac) )/(2a)`, where a = 1, b = -6, and c = 4.

`(-(-6)\pm√((-6)^2 - 4 * 1 * 4) )/(2 * 1)`

=
`(6\pm√(36 - 4 * 4) )/(2)`

=
`(6\pm√(36 - 16) )/(2)`

=
`(6\pm√(20) )/(2)`

=
`(6\pm2√(5) )/(2)`

= 3
`\pm`
`√(5)`

x = 3
`\pm`
`√(5)`.

Hope this helps!