464/49x^2-127=337

Solution for 464/49x^2-127=337 equation:

464/49x^2-127=337

We move all terms to the left:

464/49x^2-127-(337)=0


Domain of the equation: 49x^2!=0

x^2!=0/49

x^2!=√0

x!=0

x∈R


We add all the numbers together, and all the variables

464/49x^2-464=0

We multiply all the terms by the denominator


-464*49x^2+464=0

Wy multiply elements

-22736x^2+464=0

a = -22736; b = 0; c = +464;
Δ = b2-4ac
Δ = 02-4·(-22736)·464
Δ = 42198016
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{42198016}=6496$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-6496}{2*-22736}=\frac{-6496}{-45472}
=1/7
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+6496}{2*-22736}=\frac{6496}{-45472}
=-1/7
$