7x*x=120

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Solution for 7x*x=120 equation:



7x*x=120
We move all terms to the left:
7x*x-(120)=0
Wy multiply elements
7x^2-120=0
a = 7; b = 0; c = -120;
Δ = b2-4ac
Δ = 02-4·7·(-120)
Δ = 3360
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:
$\sqrt{\Delta}=\sqrt{3360}=\sqrt{16*210}=\sqrt{16}*\sqrt{210}=4\sqrt{210}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{210}}{2*7}=\frac{0-4\sqrt{210}}{14} =-\frac{4\sqrt{210}}{14} =-\frac{2\sqrt{210}}{7} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{210}}{2*7}=\frac{0+4\sqrt{210}}{14} =\frac{4\sqrt{210}}{14} =\frac{2\sqrt{210}}{7} $

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