Solve the following quadratic equation for all values of xx in simplest form.
4(x-8)^2-34=
4(x−8)
2
−34=
\,\,-18
−18

The values of x are x=6 and x=10.

Step-by-step explanation:

The given quadratic equation is

To solve the quadratic equation for the x values :

The right side of the equation must be zero. For this, add 18 on both sides of the equations.

⇒

⇒

Now, divide the equation by 4 on both sides in order to further simplify the equation.

⇒

Expand the term as the algebraic expression

⇒

⇒

Replacing the term    as  

⇒  

⇒  

Using the factorization method,

The roots of the above equation are -6,-10.

Therefore, the solution is (x-6)(x-10)= 0.

The values of x are x=6 and x=10.