X*x-3=70

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Solution for X*x-3=70 equation:



X*X-3=70
We move all terms to the left:
X*X-3-(70)=0
We add all the numbers together, and all the variables
X*X-73=0
Wy multiply elements
X^2-73=0
a = 1; b = 0; c = -73;
Δ = b2-4ac
Δ = 02-4·1·(-73)
Δ = 292
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:
$\sqrt{\Delta}=\sqrt{292}=\sqrt{4*73}=\sqrt{4}*\sqrt{73}=2\sqrt{73}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{73}}{2*1}=\frac{0-2\sqrt{73}}{2} =-\frac{2\sqrt{73}}{2} =-\sqrt{73} $
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{73}}{2*1}=\frac{0+2\sqrt{73}}{2} =\frac{2\sqrt{73}}{2} =\sqrt{73} $

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