((4x^2)/7)-700=0

Solution for ((4x^2)/7)-700=0 equation:

((4x^2)/7)-700=0

We get rid of parentheses

4x^2/7-700=0

We multiply all the terms by the denominator


4x^2-700*7=0

We add all the numbers together, and all the variables

4x^2-4900=0

a = 4; b = 0; c = -4900;
Δ = b2-4ac
Δ = 02-4·4·(-4900)
Δ = 78400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{78400}=280$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-280}{2*4}=\frac{-280}{8}
=-35
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+280}{2*4}=\frac{280}{8}
=35
$