SOLUTION: x�+2x-7568=0 please explain step by step

Question 1019537: x�+2x-7568=0 please explain step by step

Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
x�+2x-7568=0
-------
1st check for an integer solution.
--
Find a pair of factors of 7568 that differ by 2:
sqrt(7568) =~ 87
7568 = 86*88
------------------------
(x-86)*(x+88) = 0
x = -88, 86
=======================
The hard way:

Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)

Quadratic equation (in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=30276 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 86, -88. Here's your graph:

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