4t2+56=785

Solution for 4t2+56=785 equation:

4t^2+56=785

We move all terms to the left:

4t^2+56-(785)=0

We add all the numbers together, and all the variables

4t^2-729=0

a = 4; b = 0; c = -729;
Δ = b2-4ac
Δ = 02-4·4·(-729)
Δ = 11664
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{11664}=108$
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-108}{2*4}=\frac{-108}{8}
=-13+1/2
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+108}{2*4}=\frac{108}{8}
=13+1/2
$