PLEASE HELP Given:
g(x) = 2x2 + 3x + 8
k(x) = 2x + 12
Solve the equation g(x) = 2k(2) algebraically for x, to the nearest tenth. Explain why you chose the method
you used to solve this quadratic equation.

or

I chose the quadratic formula because I could not factor the quadratic.

Step-by-step explanation:

First of all let's work out what equals to. We can do this by replacing every term in with a 2.

So:

Now let's set up our equation . Replace the functions with what we know they equal to.

Now bring all the terms to one side:

Now we can solve this quadratic for .

I'll put this into the quadratic formula because it cannot be factored.

, Compare our quadratic to the general equation of a quadratic: .

Now put these terms into the quadratic formula to get the values for .

So: =2.8 (1 decimal place)

or

= -4.3 (1 decimal place)