Question

Solvex^2 - 18x + 80 = 0

Answer 1

The solution to the quadratic equation is:

x = 8

or

x = 10

Step-by-step explanation:

Given the equation:

`x^2-18x+80=0`

Solving this by factorization, we have that:

80 = -10 * -8

-18x = -10x - 8x

So, the equation becomes:

`\begin{gathered} x^2-10x-8x+80=0 \\ (x^2-10x)-(8x-80)=0 \\ x(x-10)-8(x-10)=0 \\ (x-8)(x-10)=0 \end{gathered}`

The solutions are:

`\begin{gathered} x-8=0 \\ or \\ x=8 \end{gathered}`

OR

`\begin{gathered} x-10=0 \\ or \\ x=10 \end{gathered}`