x*4x=2600

Solution for x*4x=2600 equation:

x*4x=2600

We move all terms to the left:

x*4x-(2600)=0

Wy multiply elements

4x^2-2600=0

a = 4; b = 0; c = -2600;
Δ = b2-4ac
Δ = 02-4·4·(-2600)
Δ = 41600
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:

$\sqrt{\Delta}=\sqrt{41600}=\sqrt{1600*26}=\sqrt{1600}*\sqrt{26}=40\sqrt{26}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-40\sqrt{26}}{2*4}=\frac{0-40\sqrt{26}}{8}
=-\frac{40\sqrt{26}}{8}
=-5\sqrt{26}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+40\sqrt{26}}{2*4}=\frac{0+40\sqrt{26}}{8}
=\frac{40\sqrt{26}}{8}
=5\sqrt{26}
$