a2/4=37=57

Solution for a2/4=37=57 equation:

a2/4=37=57

We move all terms to the left:

a2/4-(37)=0

We multiply all the terms by the denominator


a2-37*4=0

We add all the numbers together, and all the variables

a^2-148=0

a = 1; b = 0; c = -148;
Δ = b2-4ac
Δ = 02-4·1·(-148)
Δ = 592
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{592}=\sqrt{16*37}=\sqrt{16}*\sqrt{37}=4\sqrt{37}$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{37}}{2*1}=\frac{0-4\sqrt{37}}{2}
=-\frac{4\sqrt{37}}{2}
=-2\sqrt{37}
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{37}}{2*1}=\frac{0+4\sqrt{37}}{2}
=\frac{4\sqrt{37}}{2}
=2\sqrt{37}
$