1.15(10^2)=x^2/18

Solution for 1.15(10^2)=x^2/18 equation:

1.15(10^2)=x^2/18

We move all terms to the left:

1.15(10^2)-(x^2/18)=0

We add all the numbers together, and all the variables

-(x^2/18)+1.324801=0

We get rid of parentheses

-x^2/18+1.324801=0

We multiply all the terms by the denominator


-x^2+(1.324801)*18=0

We add all the numbers together, and all the variables

-1x^2+23.846418=0

a = -1; b = 0; c = +23.846418;
Δ = b2-4ac
Δ = 02-4·(-1)·23.846418
Δ = 95.385672
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-\sqrt{95.385672}}{2*-1}=\frac{0-\sqrt{95.385672}}{-2}
=-\frac{\sqrt{}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{95.385672}}{2*-1}=\frac{0+\sqrt{95.385672}}{-2}
=\frac{\sqrt{}}{-2}
$