x2=4.24(.1-x)2

Solution for x2=4.24(.1-x)2 equation:

x2=4.24(.1-x)2

We move all terms to the left:

x2-(4.24(.1-x)2)=0

We add all the numbers together, and all the variables

x2-(4.24(-1x+0.1)2)=0

We add all the numbers together, and all the variables

x^2-(4.24(-1x+0.1)2)=0


We calculate terms in parentheses: -(4.24(-1x+0.1)2), so:

4.24(-1x+0.1)2

We multiply parentheses

-8.48x+0.848

Back to the equation:

-(-8.48x+0.848)


We get rid of parentheses

x^2+8.48x-0.848=0

a = 1; b = 8.48; c = -0.848;
Δ = b2-4ac
Δ = 8.482-4·1·(-0.848)
Δ = 75.3024
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{-(8.48)-\sqrt{75.3024}}{2*1}=\frac{-8.48-\sqrt{75.3024}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(8.48)+\sqrt{75.3024}}{2*1}=\frac{-8.48+\sqrt{75.3024}}{2}
$