3x*x/2=70

Solution for 3x*x/2=70 equation:

3x*x/2=70

We move all terms to the left:

3x*x/2-(70)=0

We multiply all the terms by the denominator


3x*x-70*2=0

We add all the numbers together, and all the variables

3x*x-140=0

Wy multiply elements

3x^2-140=0

a = 3; b = 0; c = -140;
Δ = b2-4ac
Δ = 02-4·3·(-140)
Δ = 1680
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:

$\sqrt{\Delta}=\sqrt{1680}=\sqrt{16*105}=\sqrt{16}*\sqrt{105}=4\sqrt{105}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{105}}{2*3}=\frac{0-4\sqrt{105}}{6}
=-\frac{4\sqrt{105}}{6}
=-\frac{2\sqrt{105}}{3}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{105}}{2*3}=\frac{0+4\sqrt{105}}{6}
=\frac{4\sqrt{105}}{6}
=\frac{2\sqrt{105}}{3}
$