2-x-(x^2/2.4)=0

Solution for 2-x-(x^2/2.4)=0 equation:

2-x-(x^2/2.4)=0

We add all the numbers together, and all the variables

-1x-(x^2/2.4)+2=0

We get rid of parentheses

-x^2/2.4-1x+2=0

We multiply all the terms by the denominator


-x^2-1x*2.4+2*2.4=0

We add all the numbers together, and all the variables

-1x^2-1x*2.4+4.8=0

Wy multiply elements

-1x^2-2.4x+4.8=0

a = -1; b = -2.4; c = +4.8;
Δ = b2-4ac
Δ = -2.42-4·(-1)·4.8
Δ = 24.96
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{-(-2.4)-\sqrt{24.96}}{2*-1}=\frac{2.4-\sqrt{24.96}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2.4)+\sqrt{24.96}}{2*-1}=\frac{2.4+\sqrt{24.96}}{-2}
$