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X*X=116.5
We move all terms to the left:
X*X-(116.5)=0
We add all the numbers together, and all the variables
X*X-116.5=0
Wy multiply elements
X^2-116.5=0
a = 1; b = 0; c = -116.5;
Δ = b2-4ac
Δ = 02-4·1·(-116.5)
Δ = 466
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}$$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-\sqrt{466}}{2*1}=\frac{0-\sqrt{466}}{2} =-\frac{\sqrt{}}{2} $$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{466}}{2*1}=\frac{0+\sqrt{466}}{2} =\frac{\sqrt{}}{2} $
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