15k^2+49=56k

Solution for 15k^2+49=56k equation:

15k^2+49=56k

We move all terms to the left:

15k^2+49-(56k)=0

a = 15; b = -56; c = +49;
Δ = b2-4ac
Δ = -562-4·15·49
Δ = 196
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{196}=14$
$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-56)-14}{2*15}=\frac{42}{30}
=1+2/5
$
$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-56)+14}{2*15}=\frac{70}{30}
=2+1/3
$