SOLUTION: HELP ME SOLVE THIS PROBLEM AND GRAPH IT -X^2+7X-10=0

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Question 69987This question is from textbook ALGEBRA 1
: HELP ME SOLVE THIS PROBLEM AND GRAPH IT -X^2+7X-10=0 This question is from textbook ALGEBRA 1

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation ax%5E2%2Bbx%2Bc=0 (in our case -1x%5E2%2B7x%2B-10+=+0) has the following solutons:

x%5B12%5D+=+%28b%2B-sqrt%28+b%5E2-4ac+%29%29%2F2%5Ca

For these solutions to exist, the discriminant b%5E2-4ac should not be a negative number.

First, we need to compute the discriminant b%5E2-4ac: b%5E2-4ac=%287%29%5E2-4%2A-1%2A-10=9.

Discriminant d=9 is greater than zero. That means that there are two solutions: +x%5B12%5D+=+%28-7%2B-sqrt%28+9+%29%29%2F2%5Ca.

x%5B1%5D+=+%28-%287%29%2Bsqrt%28+9+%29%29%2F2%5C-1+=+2
x%5B2%5D+=+%28-%287%29-sqrt%28+9+%29%29%2F2%5C-1+=+5

Quadratic expression -1x%5E2%2B7x%2B-10 can be factored:
-1x%5E2%2B7x%2B-10+=+-1%28x-2%29%2A%28x-5%29
Again, the answer is: 2, 5. Here's your graph:
graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+-1%2Ax%5E2%2B7%2Ax%2B-10+%29

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