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(x-138)(x-147)=245
We move all terms to the left:
(x-138)(x-147)-(245)=0
We multiply parentheses ..
(+x^2-147x-138x+20286)-245=0
We get rid of parentheses
x^2-147x-138x+20286-245=0
We add all the numbers together, and all the variables
x^2-285x+20041=0
a = 1; b = -285; c = +20041;
Δ = b2-4ac
Δ = -2852-4·1·20041
Δ = 1061
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{-(-285)-\sqrt{1061}}{2*1}=\frac{285-\sqrt{1061}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-285)+\sqrt{1061}}{2*1}=\frac{285+\sqrt{1061}}{2} $
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