X2-1.5x-2.5=0

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Solution for X2-1.5x-2.5=0 equation:



X2-1.5X-2.5=0
We add all the numbers together, and all the variables
X^2-1.5X-2.5=0
a = 1; b = -1.5; c = -2.5;
Δ = b2-4ac
Δ = -1.52-4·1·(-2.5)
Δ = 12.25
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1.5)-\sqrt{12.25}}{2*1}=\frac{1.5-\sqrt{12.25}}{2} $
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1.5)+\sqrt{12.25}}{2*1}=\frac{1.5+\sqrt{12.25}}{2} $

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