SOLUTION: How would I solve this using quadratic formula? g(x) = x^2 + x + 12

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: How would I solve this using quadratic formula? g(x) = x^2 + x + 12       Log On


   

Question 139522: How would I solve this using quadratic formula?
g(x) = x^2 + x + 12
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
I presume you want to find the zeros of the function. Your problem is to find those values of x, say r and s, such that g%28r%29=0 and g%28s%29=0.

x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ is the quadratic formula and is the solution to the general quadratic ax%5E2%2Bbx%2Bc=0

Since you want to find the values of x that make g%28x%29=0, set your polynomial equal to zero: x%5E2+%2B+x+%2B+12=0

Now look at the general quadratic equation and compare it to your equation. It should be clear that for your equation a=1, b=1, and c=3.

So all you need to do is substitute those values into the quadratic equation given above and do the arithmetic. Remember that quadratics always have two roots, hence the 'plus or minus' sign in the numerator.