5x2/x=56

Solution for 5x2/x=56 equation:

5x^2/x=56

We move all terms to the left:

5x^2/x-(56)=0


Domain of the equation: x!=0

x∈R


We multiply all the terms by the denominator


5x^2-56*x=0

We add all the numbers together, and all the variables

5x^2-56x=0

a = 5; b = -56; c = 0;
Δ = b2-4ac
Δ = -562-4·5·0
Δ = 3136
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3136}=56$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-56)-56}{2*5}=\frac{0}{10}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-56)+56}{2*5}=\frac{112}{10}
=11+1/5
$