SOLUTION: Find the value(s)of x for which f(x)=g(x) f(x)=x^2+16x+19 g(x)= 8x+7

Question 351791: Find the value(s)of x for which f(x)=g(x)
f(x)=x^2+16x+19 g(x)= 8x+7
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation.

Plug in and

Get all terms to the left side.

Combine like terms.

Notice we have a quadratic equation in the form of where , , and

Let's use the quadratic formula to solve for x

Start with the quadratic formula

Plug in , , and

Square to get .

Multiply to get

Subtract from to get

Multiply and to get .

Take the square root of to get .

or Break up the expression.

or Combine like terms.

or Simplify.

So the answers are or
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