x*x+3x-16=0

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Solution for x*x+3x-16=0 equation:



x*x+3x-16=0
We add all the numbers together, and all the variables
3x+x*x-16=0
Wy multiply elements
x^2+3x-16=0
a = 1; b = 3; c = -16;
Δ = b2-4ac
Δ = 32-4·1·(-16)
Δ = 73
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{-(3)-\sqrt{73}}{2*1}=\frac{-3-\sqrt{73}}{2} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+\sqrt{73}}{2*1}=\frac{-3+\sqrt{73}}{2} $

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