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x^2-x-8.75=0
We add all the numbers together, and all the variables
x^2-1x-8.75=0
a = 1; b = -1; c = -8.75;
Δ = b2-4ac
Δ = -12-4·1·(-8.75)
Δ = 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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{36}=6$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-6}{2*1}=\frac{-5}{2} =-2+1/2 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+6}{2*1}=\frac{7}{2} =3+1/2 $
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