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x^2-16+3x=90
We move all terms to the left:
x^2-16+3x-(90)=0
We add all the numbers together, and all the variables
x^2+3x-106=0
a = 1; b = 3; c = -106;
Δ = b2-4ac
Δ = 32-4·1·(-106)
Δ = 433
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{-(3)-\sqrt{433}}{2*1}=\frac{-3-\sqrt{433}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+\sqrt{433}}{2*1}=\frac{-3+\sqrt{433}}{2} $
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