144p^2-49=0

Solution for 144p^2-49=0 equation:

144p^2-49=0

a = 144; b = 0; c = -49;
Δ = b2-4ac
Δ = 02-4·144·(-49)
Δ = 28224
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{28224}=168$
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-168}{2*144}=\frac{-168}{288}
=-7/12
$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+168}{2*144}=\frac{168}{288}
=7/12
$