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(2x-6)(x-2)=756
We move all terms to the left:
(2x-6)(x-2)-(756)=0
We multiply parentheses ..
(+2x^2-4x-6x+12)-756=0
We get rid of parentheses
2x^2-4x-6x+12-756=0
We add all the numbers together, and all the variables
2x^2-10x-744=0
a = 2; b = -10; c = -744;
Δ = b2-4ac
Δ = -102-4·2·(-744)
Δ = 6052
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{6052}=\sqrt{4*1513}=\sqrt{4}*\sqrt{1513}=2\sqrt{1513}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-10)-2\sqrt{1513}}{2*2}=\frac{10-2\sqrt{1513}}{4} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-10)+2\sqrt{1513}}{2*2}=\frac{10+2\sqrt{1513}}{4} $
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