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x2-247.5x=1125
We move all terms to the left:
x2-247.5x-(1125)=0
We add all the numbers together, and all the variables
x^2-247.5x-1125=0
a = 1; b = -247.5; c = -1125;
Δ = b2-4ac
Δ = -247.52-4·1·(-1125)
Δ = 65756.25
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{-(-247.5)-\sqrt{65756.25}}{2*1}=\frac{247.5-\sqrt{65756.25}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-247.5)+\sqrt{65756.25}}{2*1}=\frac{247.5+\sqrt{65756.25}}{2} $
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