SOLUTION: How do you solve the quadratic formula: all radicals should be simplified as far as possible, show work a^2-12a+35=0

Question 297874: How do you solve the quadratic formula: all radicals should be simplified as far as possible, show work
a^2-12a+35=0
Found 2 solutions by checkley77, JBarnum:
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
a^2-12a+35=0
(a-7)(a-5)=0
a-7=0
a=7 ans.
a-5=0
a=5 ans.
Answer by JBarnum(2146) (Show Source): You can put this solution on YOUR website!

Solved by pluggable solver: SOLVE quadratic equation with variable

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=4 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 7, 5. Here's your graph:

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