SOLUTION: Find the roots of 13x=5x^2-6.

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Question 194636This question is from textbook Saxon Algebra 2
: Find the roots of 13x=5x^2-6. This question is from textbook Saxon Algebra 2

Found 2 solutions by stanbon, RAY100:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Find the roots of 13x=5x^2-6
5x^2-13x-6 = 0
5x^2-15x+2x-6 = 0
5x(x-3)+2(x-3)= 0
(x-3)(5x+2) = 0
x = 3 or x = -2/5
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Cheers,
Stan H.

Answer by RAY100(1637) About Me  (Show Source):
You can put this solution on YOUR website!
13x = 5x^2 -6
,
0=5x^2 -13x -6
,
( 5x +2)(x-3) =0
,
5x +2 =0,,,,,x=-2/5
,
x-3 = 0,,,,,x=3
,
checking
substitute into original eqn,,,both ok