50x^2=18/49

Solution for 50x^2=18/49 equation:

50x^2=18/49

We move all terms to the left:

50x^2-(18/49)=0

We add all the numbers together, and all the variables

50x^2-(+18/49)=0

We get rid of parentheses

50x^2-18/49=0

We multiply all the terms by the denominator


50x^2*49-18=0

Wy multiply elements

2450x^2-18=0

a = 2450; b = 0; c = -18;
Δ = b2-4ac
Δ = 02-4·2450·(-18)
Δ = 176400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{176400}=420$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-420}{2*2450}=\frac{-420}{4900}
=-3/35
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+420}{2*2450}=\frac{420}{4900}
=3/35
$