1.15=4.00-x/(2x)2

Solution for 1.15=4.00-x/(2x)2 equation:

1.15=4.00-x/(2x)2

We move all terms to the left:

1.15-(4.00-x/(2x)2)=0


Domain of the equation: 2x2)!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

-(-x/2x2+4)+1.15=0

We get rid of parentheses

x/2x2-4+1.15=0

We multiply all the terms by the denominator


x-4*2x2+(1.15)*2x2=0

We multiply parentheses

2.3x^2+x-4*2x2=0

Wy multiply elements

2.3x^2-8x^2+x=0

We add all the numbers together, and all the variables

-5.7x^2+x=0

a = -5.7; b = 1; c = 0;
Δ = b2-4ac
Δ = 12-4·(-5.7)·0
Δ = 1
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1}=1$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-1}{2*-5.7}=\frac{-2}{-11.4}
=2/11.4
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+1}{2*-5.7}=\frac{0}{-11.4}
=0
$