SOLUTION: Can someone help me use quadratic formula to solve: Solve and graph x2 + x – 4 = 0. (x^2+x-4 =0) If possible can you also graph the answer using word program? and send me an at

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Question 475576: Can someone help me use quadratic formula to solve: Solve and graph x2 + x – 4 = 0. (x^2+x-4 =0)
If possible can you also graph the answer using word program? and send me an attachment?

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
For more help, check out this quadratic formula solver.

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 x%5E2%2Bx-4=0 ( notice a=1, b=1, and c=-4)





x+=+%28-1+%2B-+sqrt%28+%281%29%5E2-4%2A1%2A-4+%29%29%2F%282%2A1%29 Plug in a=1, b=1, and c=-4




x+=+%28-1+%2B-+sqrt%28+1-4%2A1%2A-4+%29%29%2F%282%2A1%29 Square 1 to get 1




x+=+%28-1+%2B-+sqrt%28+1%2B16+%29%29%2F%282%2A1%29 Multiply -4%2A-4%2A1 to get 16




x+=+%28-1+%2B-+sqrt%28+17+%29%29%2F%282%2A1%29 Combine like terms in the radicand (everything under the square root)




x+=+%28-1+%2B-+sqrt%2817%29%29%2F%282%2A1%29 Simplify the square root (note: If you need help with simplifying the square root, check out this solver)




x+=+%28-1+%2B-+sqrt%2817%29%29%2F2 Multiply 2 and 1 to get 2


So now the expression breaks down into two parts


x+=+%28-1+%2B+sqrt%2817%29%29%2F2 or x+=+%28-1+-+sqrt%2817%29%29%2F2



Now break up the fraction



x=-1%2F2%2Bsqrt%2817%29%2F2 or x=-1%2F2-sqrt%2817%29%2F2



Simplify



x=-1%2F2%2Bsqrt%2817%29%2F2 or x=-1%2F2-sqrt%2817%29%2F2



So the solutions are:

x=-1%2F2%2Bsqrt%2817%29%2F2 or x=-1%2F2-sqrt%2817%29%2F2





For more help, check out this quadratic formula solver.


Here's the graph