1089+b^2=4225

Solution for 1089+b^2=4225 equation:

1089+b^2=4225

We move all terms to the left:

1089+b^2-(4225)=0

We add all the numbers together, and all the variables

b^2-3136=0

a = 1; b = 0; c = -3136;
Δ = b2-4ac
Δ = 02-4·1·(-3136)
Δ = 12544
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{12544}=112$
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-112}{2*1}=\frac{-112}{2}
=-56
$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+112}{2*1}=\frac{112}{2}
=56
$