SOLUTION: Use the equation x2-8x=-9 circle one of the following: real imaginary circle one of the following: rational irrational circle one of the following: equal unequal

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Question 975038: Use the equation x2-8x=-9
circle one of the following: real imaginary
circle one of the following: rational irrational
circle one of the following: equal unequal
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
x2-8x=-9

Disc = b^2 - 4ac = 8^2 - 36
Disc > 0 --> 2 real roots.
Disc = 28, sqrt(28) is irrational
--> irrational
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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=28 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 6.64575131106459, 1.35424868893541. Here's your graph:
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