x2+55=-16x

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Solution for x2+55=-16x equation:



x2+55=-16x
We move all terms to the left:
x2+55-(-16x)=0
We add all the numbers together, and all the variables
x^2-(-16x)+55=0
We get rid of parentheses
x^2+16x+55=0
a = 1; b = 16; c = +55;
Δ = b2-4ac
Δ = 162-4·1·55
Δ = 36
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{36}=6$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(16)-6}{2*1}=\frac{-22}{2} =-11 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(16)+6}{2*1}=\frac{-10}{2} =-5 $

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