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X2-2X+1=144
We move all terms to the left:
X2-2X+1-(144)=0
We add all the numbers together, and all the variables
X^2-2X-143=0
a = 1; b = -2; c = -143;
Δ = b2-4ac
Δ = -22-4·1·(-143)
Δ = 576
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{576}=24$$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-2)-24}{2*1}=\frac{-22}{2} =-11 $$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2)+24}{2*1}=\frac{26}{2} =13 $
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