F(x)=4-0.5x/0.75x-15

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Solution for F(x)=4-0.5x/0.75x-15 equation:



(F)=4-0.5F/0.75F-15
We move all terms to the left:
(F)-(4-0.5F/0.75F-15)=0
Domain of the equation: 0.75F-15)!=0
F∈R
We add all the numbers together, and all the variables
F-(-0.5F/0.75F-11)=0
We get rid of parentheses
F+0.5F/0.75F+11=0
We multiply all the terms by the denominator
F*0.75F+0.5F+11*0.75F=0
We add all the numbers together, and all the variables
0.5F+F*0.75F+11*0.75F=0
Wy multiply elements
0F^2+0.5F+0F=0
We add all the numbers together, and all the variables
F^2+1.5F=0
a = 1; b = 1.5; c = 0;
Δ = b2-4ac
Δ = 1.52-4·1·0
Δ = 2.25
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$F_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$F_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$F_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1.5)-\sqrt{2.25}}{2*1}=\frac{-1.5-\sqrt{2.25}}{2} $
$F_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1.5)+\sqrt{2.25}}{2*1}=\frac{-1.5+\sqrt{2.25}}{2} $

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