5x2/50x=9

Solution for 5x2/50x=9 equation:

5x^2/50x=9

We move all terms to the left:

5x^2/50x-(9)=0


Domain of the equation: 50x!=0

x!=0/50

x!=0

x∈R


We multiply all the terms by the denominator


5x^2-9*50x=0

Wy multiply elements

5x^2-450x=0

a = 5; b = -450; c = 0;
Δ = b2-4ac
Δ = -4502-4·5·0
Δ = 202500
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{202500}=450$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-450)-450}{2*5}=\frac{0}{10}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-450)+450}{2*5}=\frac{900}{10}
=90
$