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0=x^2+75.6x-8100
We move all terms to the left:
0-(x^2+75.6x-8100)=0
We add all the numbers together, and all the variables
-(x^2+75.6x-8100)=0
We get rid of parentheses
-x^2-75.6x+8100=0
We add all the numbers together, and all the variables
-1x^2-75.6x+8100=0
a = -1; b = -75.6; c = +8100;
Δ = b2-4ac
Δ = -75.62-4·(-1)·8100
Δ = 38115.36
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{-(-75.6)-\sqrt{38115.36}}{2*-1}=\frac{75.6-\sqrt{38115.36}}{-2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-75.6)+\sqrt{38115.36}}{2*-1}=\frac{75.6+\sqrt{38115.36}}{-2} $
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