x*2x=2.25/50

Solution for x*2x=2.25/50 equation:

x*2x=2.25/50

We move all terms to the left:

x*2x-(2.25/50)=0

We add all the numbers together, and all the variables

x*2x-(+2.25/50)=0

Wy multiply elements

2x^2-(+2.25/50)=0

We get rid of parentheses

2x^2-2.25/50=0

We multiply all the terms by the denominator


2x^2*50-2.25=0

Wy multiply elements

100x^2-2.25=0

a = 100; b = 0; c = -2.25;
Δ = b2-4ac
Δ = 02-4·100·(-2.25)
Δ = 900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{900}=30$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-30}{2*100}=\frac{-30}{200}
=-3/20
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+30}{2*100}=\frac{30}{200}
=3/20
$