8.9(10^-7)=x^2/0.10

Solution for 8.9(10^-7)=x^2/0.10 equation:

8.9(10^-7)=x^2/0.10

We move all terms to the left:

8.9(10^-7)-(x^2/0.10)=0

We add all the numbers together, and all the variables

-(x^2/0.10)-7+8.9E=0

We get rid of parentheses

-x^2/0.10-7+8.9E=0

We multiply all the terms by the denominator


-x^2-7*0.10+(8.9E)*0.10=0

We add all the numbers together, and all the variables

-x^2-7*0.10+(24.192708273286)*0.10=0

We add all the numbers together, and all the variables

-1x^2+1.7192708273286=0

a = -1; b = 0; c = +1.7192708273286;
Δ = b2-4ac
Δ = 02-4·(-1)·1.7192708273286
Δ = 6.8770833093144
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{6.8770833093144}}{2*-1}=\frac{0-\sqrt{6.8770833093144}}{-2}
=-\frac{\sqrt{}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{6.8770833093144}}{2*-1}=\frac{0+\sqrt{6.8770833093144}}{-2}
=\frac{\sqrt{}}{-2}
$