SOLUTION: Please one more this makes no sense. 24x^2+10x -4

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Question 116965: Please one more this makes no sense.
24x^2+10x -4
Answer by MathLover1(20855) About Me  (Show Source):
You can put this solution on YOUR website!

Solved by pluggable solver: Quadratic Formula
Let's use the quadratic formula to solve for x:


Starting with the general quadratic


ax%5E2%2Bbx%2Bc=0


the general solution using the quadratic equation is:


x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29




So lets solve 24%2Ax%5E2%2B10%2Ax-4=0 ( notice a=24, b=10, and c=-4)





x+=+%28-10+%2B-+sqrt%28+%2810%29%5E2-4%2A24%2A-4+%29%29%2F%282%2A24%29 Plug in a=24, b=10, and c=-4




x+=+%28-10+%2B-+sqrt%28+100-4%2A24%2A-4+%29%29%2F%282%2A24%29 Square 10 to get 100




x+=+%28-10+%2B-+sqrt%28+100%2B384+%29%29%2F%282%2A24%29 Multiply -4%2A-4%2A24 to get 384




x+=+%28-10+%2B-+sqrt%28+484+%29%29%2F%282%2A24%29 Combine like terms in the radicand (everything under the square root)




x+=+%28-10+%2B-+22%29%2F%282%2A24%29 Simplify the square root (note: If you need help with simplifying the square root, check out this solver)




x+=+%28-10+%2B-+22%29%2F48 Multiply 2 and 24 to get 48


So now the expression breaks down into two parts


x+=+%28-10+%2B+22%29%2F48 or x+=+%28-10+-+22%29%2F48


Lets look at the first part:


x=%28-10+%2B+22%29%2F48


x=12%2F48 Add the terms in the numerator

x=1%2F4 Divide


So one answer is

x=1%2F4




Now lets look at the second part:


x=%28-10+-+22%29%2F48


x=-32%2F48 Subtract the terms in the numerator

x=-2%2F3 Divide


So another answer is

x=-2%2F3


So our solutions are:

x=1%2F4 or x=-2%2F3