(98)10=(x)2

Solution for (98)10=(x)2 equation:

(98)10=(x)2

We move all terms to the left:

(98)10-((x)2)=0

determiningTheFunctionDomain
-x2+9810=0

We add all the numbers together, and all the variables

-1x^2+9810=0

a = -1; b = 0; c = +9810;
Δ = b2-4ac
Δ = 02-4·(-1)·9810
Δ = 39240
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:

$\sqrt{\Delta}=\sqrt{39240}=\sqrt{36*1090}=\sqrt{36}*\sqrt{1090}=6\sqrt{1090}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-6\sqrt{1090}}{2*-1}=\frac{0-6\sqrt{1090}}{-2}
=-\frac{6\sqrt{1090}}{-2}
=-\frac{3\sqrt{1090}}{-1}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+6\sqrt{1090}}{2*-1}=\frac{0+6\sqrt{1090}}{-2}
=\frac{6\sqrt{1090}}{-2}
=\frac{3\sqrt{1090}}{-1}
$