8y^2-153=0

Solution for 8y^2-153=0 equation:

8y^2-153=0

a = 8; b = 0; c = -153;
Δ = b2-4ac
Δ = 02-4·8·(-153)
Δ = 4896
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{4896}=\sqrt{144*34}=\sqrt{144}*\sqrt{34}=12\sqrt{34}$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-12\sqrt{34}}{2*8}=\frac{0-12\sqrt{34}}{16}
=-\frac{12\sqrt{34}}{16}
=-\frac{3\sqrt{34}}{4}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+12\sqrt{34}}{2*8}=\frac{0+12\sqrt{34}}{16}
=\frac{12\sqrt{34}}{16}
=\frac{3\sqrt{34}}{4}
$