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x^2-x-26.25=0
We add all the numbers together, and all the variables
x^2-1x-26.25=0
a = 1; b = -1; c = -26.25;
Δ = b2-4ac
Δ = -12-4·1·(-26.25)
Δ = 106
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{-(-1)-\sqrt{106}}{2*1}=\frac{1-\sqrt{106}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+\sqrt{106}}{2*1}=\frac{1+\sqrt{106}}{2} $
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