9d^2-151=0

Solution for 9d^2-151=0 equation:

9d^2-151=0

a = 9; b = 0; c = -151;
Δ = b2-4ac
Δ = 02-4·9·(-151)
Δ = 5436
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$d_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$d_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{5436}=\sqrt{36*151}=\sqrt{36}*\sqrt{151}=6\sqrt{151}$
$d_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-6\sqrt{151}}{2*9}=\frac{0-6\sqrt{151}}{18}
=-\frac{6\sqrt{151}}{18}
=-\frac{\sqrt{151}}{3}
$
$d_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+6\sqrt{151}}{2*9}=\frac{0+6\sqrt{151}}{18}
=\frac{6\sqrt{151}}{18}
=\frac{\sqrt{151}}{3}
$