X*x=30.25

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Solution for X*x=30.25 equation:



X*X=30.25
We move all terms to the left:
X*X-(30.25)=0
We add all the numbers together, and all the variables
X*X-30.25=0
Wy multiply elements
X^2-30.25=0
a = 1; b = 0; c = -30.25;
Δ = b2-4ac
Δ = 02-4·1·(-30.25)
Δ = 121
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{121}=11$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-11}{2*1}=\frac{-11}{2} =-5+1/2 $
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+11}{2*1}=\frac{11}{2} =5+1/2 $

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