81-49k^2=0

Solution for 81-49k^2=0 equation:

81-49k^2=0

a = -49; b = 0; c = +81;
Δ = b2-4ac
Δ = 02-4·(-49)·81
Δ = 15876
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{15876}=126$
$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-126}{2*-49}=\frac{-126}{-98}
=1+2/7
$
$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+126}{2*-49}=\frac{126}{-98}
=-1+2/7
$