y^2/5^2=49

Solution for y^2/5^2=49 equation:

y^2/5^2=49

We move all terms to the left:

y^2/5^2-(49)=0

We multiply all the terms by the denominator


y^2-49*5^2=0

We add all the numbers together, and all the variables

y^2-1225=0

a = 1; b = 0; c = -1225;
Δ = b2-4ac
Δ = 02-4·1·(-1225)
Δ = 4900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4900}=70$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-70}{2*1}=\frac{-70}{2}
=-35
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+70}{2*1}=\frac{70}{2}
=35
$