5u^2=144u

Solution for 5u^2=144u equation:

5u^2=144u

We move all terms to the left:

5u^2-(144u)=0

a = 5; b = -144; c = 0;
Δ = b2-4ac
Δ = -1442-4·5·0
Δ = 20736
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$u_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$u_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{20736}=144$
$u_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-144)-144}{2*5}=\frac{0}{10}
=0
$
$u_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-144)+144}{2*5}=\frac{288}{10}
=28+4/5
$