9x2=56

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Solution for 9x2=56 equation:



9x^2=56
We move all terms to the left:
9x^2-(56)=0
a = 9; b = 0; c = -56;
Δ = b2-4ac
Δ = 02-4·9·(-56)
Δ = 2016
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:
$\sqrt{\Delta}=\sqrt{2016}=\sqrt{144*14}=\sqrt{144}*\sqrt{14}=12\sqrt{14}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-12\sqrt{14}}{2*9}=\frac{0-12\sqrt{14}}{18} =-\frac{12\sqrt{14}}{18} =-\frac{2\sqrt{14}}{3} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+12\sqrt{14}}{2*9}=\frac{0+12\sqrt{14}}{18} =\frac{12\sqrt{14}}{18} =\frac{2\sqrt{14}}{3} $

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