x2+13x+15=2x+5

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Solution for x2+13x+15=2x+5 equation:



x2+13x+15=2x+5
We move all terms to the left:
x2+13x+15-(2x+5)=0
We add all the numbers together, and all the variables
x^2+13x-(2x+5)+15=0
We get rid of parentheses
x^2+13x-2x-5+15=0
We add all the numbers together, and all the variables
x^2+11x+10=0
a = 1; b = 11; c = +10;
Δ = b2-4ac
Δ = 112-4·1·10
Δ = 81
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{81}=9$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(11)-9}{2*1}=\frac{-20}{2} =-10 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(11)+9}{2*1}=\frac{-2}{2} =-1 $

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