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112=X*X
We move all terms to the left:
112-(X*X)=0
We add all the numbers together, and all the variables
-(+X*X)+112=0
We get rid of parentheses
-X*X+112=0
Wy multiply elements
-1X^2+112=0
a = -1; b = 0; c = +112;
Δ = b2-4ac
Δ = 02-4·(-1)·112
Δ = 448
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}$$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{448}=\sqrt{64*7}=\sqrt{64}*\sqrt{7}=8\sqrt{7}$$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-8\sqrt{7}}{2*-1}=\frac{0-8\sqrt{7}}{-2} =-\frac{8\sqrt{7}}{-2} =-\frac{4\sqrt{7}}{-1} $$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+8\sqrt{7}}{2*-1}=\frac{0+8\sqrt{7}}{-2} =\frac{8\sqrt{7}}{-2} =\frac{4\sqrt{7}}{-1} $
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