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s*s=132
We move all terms to the left:
s*s-(132)=0
Wy multiply elements
s^2-132=0
a = 1; b = 0; c = -132;
Δ = b2-4ac
Δ = 02-4·1·(-132)
Δ = 528
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{528}=\sqrt{16*33}=\sqrt{16}*\sqrt{33}=4\sqrt{33}$$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{33}}{2*1}=\frac{0-4\sqrt{33}}{2} =-\frac{4\sqrt{33}}{2} =-2\sqrt{33} $$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{33}}{2*1}=\frac{0+4\sqrt{33}}{2} =\frac{4\sqrt{33}}{2} =2\sqrt{33} $
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