x=11(-56/107)+7

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Solution for x=11(-56/107)+7 equation:



x=11(-56/107)+7
We move all terms to the left:
x-(11(-56/107)+7)=0
We multiply all the terms by the denominator
x*107)+7)-(11(-56=0
Wy multiply elements
107x^2-56=0
a = 107; b = 0; c = -56;
Δ = b2-4ac
Δ = 02-4·107·(-56)
Δ = 23968
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:
$\sqrt{\Delta}=\sqrt{23968}=\sqrt{16*1498}=\sqrt{16}*\sqrt{1498}=4\sqrt{1498}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{1498}}{2*107}=\frac{0-4\sqrt{1498}}{214} =-\frac{4\sqrt{1498}}{214} =-\frac{2\sqrt{1498}}{107} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{1498}}{2*107}=\frac{0+4\sqrt{1498}}{214} =\frac{4\sqrt{1498}}{214} =\frac{2\sqrt{1498}}{107} $

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