x^2=7(4+7)

Solution for x^2=7(4+7) equation:

x^2=7(4+7)

We move all terms to the left:

x^2-(7(4+7))=0

We add all the numbers together, and all the variables

x^2-(711)=0

We add all the numbers together, and all the variables

x^2-711=0

a = 1; b = 0; c = -711;
Δ = b2-4ac
Δ = 02-4·1·(-711)
Δ = 2844
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:

$\sqrt{\Delta}=\sqrt{2844}=\sqrt{36*79}=\sqrt{36}*\sqrt{79}=6\sqrt{79}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-6\sqrt{79}}{2*1}=\frac{0-6\sqrt{79}}{2}
=-\frac{6\sqrt{79}}{2}
=-3\sqrt{79}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+6\sqrt{79}}{2*1}=\frac{0+6\sqrt{79}}{2}
=\frac{6\sqrt{79}}{2}
=3\sqrt{79}
$