X(x+1)=0.24

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Solution for X(x+1)=0.24 equation:



X(X+1)=0.24
We move all terms to the left:
X(X+1)-(0.24)=0
We add all the numbers together, and all the variables
X(X+1)-0.24=0
We multiply parentheses
X^2+X-0.24=0
a = 1; b = 1; c = -0.24;
Δ = b2-4ac
Δ = 12-4·1·(-0.24)
Δ = 1.96
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{-(1)-\sqrt{1.96}}{2*1}=\frac{-1-\sqrt{1.96}}{2} $
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{1.96}}{2*1}=\frac{-1+\sqrt{1.96}}{2} $

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