7.5x+x*x=0

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Solution for 7.5x+x*x=0 equation:



7.5x+x*x=0
Wy multiply elements
x^2+7.5x=0
a = 1; b = 7.5; c = 0;
Δ = b2-4ac
Δ = 7.52-4·1·0
Δ = 56.25
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{-(7.5)-\sqrt{56.25}}{2*1}=\frac{-7.5-\sqrt{56.25}}{2} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7.5)+\sqrt{56.25}}{2*1}=\frac{-7.5+\sqrt{56.25}}{2} $

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