Question

Is 6 a solution to the equation x^2 - 4 = 5x? Please tell me why or why not

Answer 1

6 is not a solution to the given equation.

Explanation:

We are given the equation
`x^2-4=5x`

We need to know whether or not x=6 is a solution. This means that we should substitute in 6 for each instance of x. Then, if both sides of the equation are equal, then 6 is a solution to the equation.

`x^2-4=5x\\\\(6)^2-4=5(6)\\\\36-4=30\\\\32=30`

As 32 ≠ 30, 6 is not a solution to the given equation.