X*35*x*35=360

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Solution for X*35*x*35=360 equation:



X*35X*35=360
We move all terms to the left:
X*35X*35-(360)=0
Wy multiply elements
1225X^2*3-360=0
Wy multiply elements
3675X^2-360=0
a = 3675; b = 0; c = -360;
Δ = b2-4ac
Δ = 02-4·3675·(-360)
Δ = 5292000
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:
$\sqrt{\Delta}=\sqrt{5292000}=\sqrt{176400*30}=\sqrt{176400}*\sqrt{30}=420\sqrt{30}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-420\sqrt{30}}{2*3675}=\frac{0-420\sqrt{30}}{7350} =-\frac{420\sqrt{30}}{7350} =-\frac{2\sqrt{30}}{35} $
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+420\sqrt{30}}{2*3675}=\frac{0+420\sqrt{30}}{7350} =\frac{420\sqrt{30}}{7350} =\frac{2\sqrt{30}}{35} $

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