SOLUTION: what are the zeroes of 5x^2-13x=-6

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Question 266899: what are the zeroes of 5x^2-13x=-6
Found 2 solutions by JBarnum, gsmani_iyer:
Answer by JBarnum(2146)   (Show Source): You can put this solution on YOUR website!

A=5 B=-13 C=6
x=2, 0.6
x-2=0 & x-0.6=0
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=49 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 2, 0.6. Here's your graph:

Answer by gsmani_iyer(201)   (Show Source): You can put this solution on YOUR website!
Solution:
=
=
=
=
Here or has to be 0
If (x-2) is zero, then, x=2.
If (5x-3) is zero, then, x = 3/5
Therefore x = {2, 3/5}.

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