SOLUTION: Solve by applying the Quadratic Formula. Show your work. thanks 4x^2 + 48x + 104 = 0

Algebra ->  Equations -> SOLUTION: Solve by applying the Quadratic Formula. Show your work. thanks 4x^2 + 48x + 104 = 0       Log On


   

Question 245863: Solve by applying the Quadratic Formula. Show your work. thanks
4x^2 + 48x + 104 = 0
Found 2 solutions by dabanfield, College Student:
Answer by dabanfield(803) About Me  (Show Source):
You can put this solution on YOUR website!
Use a=4, b=48, c=104 and plug these into the quadratic formula. It would be a little easier to divide each of these by 4 before using the formula since 4 is a common factor in each terms of 4x^2 + 48x + 104.
That is a=1, b=12, c=26.

Answer by College Student(505) About Me  (Show Source):
You can put this solution on YOUR website!
A quadratic equation would look like this: Ax%5E2%2BBx%2BC=0
And a quadratic formula would look like this: x=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F2a
.
So, for the following quadratic equation: 4x%5E2%2B48x%2B104=0
Its quadratic formula would be:
x=%28-48%2B-sqrt%2848%5E2-%284%284%2A104%29%29%29%29%2F%282%2A4%29
Now work the algebra and solve for x:
x=%28-48%2B-sqrt%2848%5E2-%284%28416%29%29%29%29%2F%288%29
.
x=%28-48%2B-sqrt%2848%5E2-1664%29%29%2F%288%29
.
x=%28-48%2B-sqrt%282304-1664%29%29%2F%288%29
.
x=%28-48%2B-sqrt%28640%29%29%2F%288%29
.
Notice -48/8=-6, so:
.
x=-6%2B-sqrt%28640%29
.
x=-6%2B-sqrt%2864%2A10%29
.
x=-6%2B8sqrt%2810%29 ...and... x=-6-8sqrt%2810%29
.
We may simplify them further if you want to use decimals.
If so, use your calculator to find the square root of 10 and perform the math.
Otherwise, the above answers would suffice. :)