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x^2-x=450
We move all terms to the left:
x^2-x-(450)=0
We add all the numbers together, and all the variables
x^2-1x-450=0
a = 1; b = -1; c = -450;
Δ = b2-4ac
Δ = -12-4·1·(-450)
Δ = 1801
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{1801}}{2*1}=\frac{1-\sqrt{1801}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+\sqrt{1801}}{2*1}=\frac{1+\sqrt{1801}}{2} $
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