2x*x=1375

Solution for 2x*x=1375 equation:

2x*x=1375

We move all terms to the left:

2x*x-(1375)=0

Wy multiply elements

2x^2-1375=0

a = 2; b = 0; c = -1375;
Δ = b2-4ac
Δ = 02-4·2·(-1375)
Δ = 11000
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:

$\sqrt{\Delta}=\sqrt{11000}=\sqrt{100*110}=\sqrt{100}*\sqrt{110}=10\sqrt{110}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-10\sqrt{110}}{2*2}=\frac{0-10\sqrt{110}}{4}
=-\frac{10\sqrt{110}}{4}
=-\frac{5\sqrt{110}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+10\sqrt{110}}{2*2}=\frac{0+10\sqrt{110}}{4}
=\frac{10\sqrt{110}}{4}
=\frac{5\sqrt{110}}{2}
$