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0=-7x^2+101.5x+101.5
We move all terms to the left:
0-(-7x^2+101.5x+101.5)=0
We add all the numbers together, and all the variables
-(-7x^2+101.5x+101.5)=0
We get rid of parentheses
7x^2-101.5x-101.5=0
a = 7; b = -101.5; c = -101.5;
Δ = b2-4ac
Δ = -101.52-4·7·(-101.5)
Δ = 13144.25
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{-(-101.5)-\sqrt{13144.25}}{2*7}=\frac{101.5-\sqrt{13144.25}}{14} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-101.5)+\sqrt{13144.25}}{2*7}=\frac{101.5+\sqrt{13144.25}}{14} $
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