7x*7x=15463

Solution for 7x*7x=15463 equation:

7x*7x=15463

We move all terms to the left:

7x*7x-(15463)=0

Wy multiply elements

49x^2-15463=0

a = 49; b = 0; c = -15463;
Δ = b2-4ac
Δ = 02-4·49·(-15463)
Δ = 3030748
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:

$\sqrt{\Delta}=\sqrt{3030748}=\sqrt{432964*7}=\sqrt{432964}*\sqrt{7}=658\sqrt{7}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-658\sqrt{7}}{2*49}=\frac{0-658\sqrt{7}}{98}
=-\frac{658\sqrt{7}}{98}
=-\frac{47\sqrt{7}}{7}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+658\sqrt{7}}{2*49}=\frac{0+658\sqrt{7}}{98}
=\frac{658\sqrt{7}}{98}
=\frac{47\sqrt{7}}{7}
$