r2+10r=96

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Solution for r2+10r=96 equation:



r2+10r=96
We move all terms to the left:
r2+10r-(96)=0
We add all the numbers together, and all the variables
r^2+10r-96=0
a = 1; b = 10; c = -96;
Δ = b2-4ac
Δ = 102-4·1·(-96)
Δ = 484
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$r_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$r_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{484}=22$
$r_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(10)-22}{2*1}=\frac{-32}{2} =-16 $
$r_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(10)+22}{2*1}=\frac{12}{2} =6 $

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