14+x2=20+1.50

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Solution for 14+x2=20+1.50 equation:



14+x2=20+1.50
We move all terms to the left:
14+x2-(20+1.50)=0
We add all the numbers together, and all the variables
x2+14-(21.5)=0
We add all the numbers together, and all the variables
x^2-7.5=0
a = 1; b = 0; c = -7.5;
Δ = b2-4ac
Δ = 02-4·1·(-7.5)
Δ = 30
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{-(0)-\sqrt{30}}{2*1}=\frac{0-\sqrt{30}}{2} =-\frac{\sqrt{}}{2} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{30}}{2*1}=\frac{0+\sqrt{30}}{2} =\frac{\sqrt{}}{2} $

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