X=2.4x^2/484

Solution for X=2.4x^2/484 equation:

X=2.4X^2/484

We move all terms to the left:

X-(2.4X^2/484)=0

We get rid of parentheses

-2.4X^2/484+X=0

We multiply all the terms by the denominator


-2.4X^2+X*484=0

Wy multiply elements

-2.4X^2+484X=0

a = -2.4; b = 484; c = 0;
Δ = b2-4ac
Δ = 4842-4·(-2.4)·0
Δ = 234256
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{234256}=484$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(484)-484}{2*-2.4}=\frac{-968}{-4.8}
=201+2.6666666666666/3.9999999999998
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(484)+484}{2*-2.4}=\frac{0}{-4.8}
=0
$