X2+5=-6x

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Solution for X2+5=-6x equation:



X2+5=-6X
We move all terms to the left:
X2+5-(-6X)=0
We add all the numbers together, and all the variables
X^2-(-6X)+5=0
We get rid of parentheses
X^2+6X+5=0
a = 1; b = 6; c = +5;
Δ = b2-4ac
Δ = 62-4·1·5
Δ = 16
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{16}=4$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(6)-4}{2*1}=\frac{-10}{2} =-5 $
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(6)+4}{2*1}=\frac{-2}{2} =-1 $

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