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(X-1)(X+2)=180
We move all terms to the left:
(X-1)(X+2)-(180)=0
We multiply parentheses ..
(+X^2+2X-1X-2)-180=0
We get rid of parentheses
X^2+2X-1X-2-180=0
We add all the numbers together, and all the variables
X^2+X-182=0
a = 1; b = 1; c = -182;
Δ = b2-4ac
Δ = 12-4·1·(-182)
Δ = 729
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{729}=27$$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-27}{2*1}=\frac{-28}{2} =-14 $$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+27}{2*1}=\frac{26}{2} =13 $
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