x^2+3x/2-1=0

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Solution for x^2+3x/2-1=0 equation:



x^2+3x/2-1=0
We multiply all the terms by the denominator
x^2*2+3x-1*2=0
We add all the numbers together, and all the variables
x^2*2+3x-2=0
Wy multiply elements
2x^2+3x-2=0
a = 2; b = 3; c = -2;
Δ = b2-4ac
Δ = 32-4·2·(-2)
Δ = 25
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{25}=5$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(3)-5}{2*2}=\frac{-8}{4} =-2 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+5}{2*2}=\frac{2}{4} =1/2 $

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