X=67x2/20

Solution for X=67x2/20 equation:

X=67X^2/20

We move all terms to the left:

X-(67X^2/20)=0

We get rid of parentheses

-67X^2/20+X=0

We multiply all the terms by the denominator


-67X^2+X*20=0

Wy multiply elements

-67X^2+20X=0

a = -67; b = 20; c = 0;
Δ = b2-4ac
Δ = 202-4·(-67)·0
Δ = 400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{400}=20$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(20)-20}{2*-67}=\frac{-40}{-134}
=20/67
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(20)+20}{2*-67}=\frac{0}{-134}
=0
$