x2+3(7+50)=705

Solution for x2+3(7+50)=705 equation:

x2+3(7+50)=705

We move all terms to the left:

x2+3(7+50)-(705)=0

determiningTheFunctionDomain
x2-705+3(7+50)=0

We add all the numbers together, and all the variables

x2-705+357=0

We add all the numbers together, and all the variables

x^2-348=0

a = 1; b = 0; c = -348;
Δ = b2-4ac
Δ = 02-4·1·(-348)
Δ = 1392
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{1392}=\sqrt{16*87}=\sqrt{16}*\sqrt{87}=4\sqrt{87}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{87}}{2*1}=\frac{0-4\sqrt{87}}{2}
=-\frac{4\sqrt{87}}{2}
=-2\sqrt{87}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{87}}{2*1}=\frac{0+4\sqrt{87}}{2}
=\frac{4\sqrt{87}}{2}
=2\sqrt{87}
$