x(29/45)=58

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Solution for x(29/45)=58 equation:



x(29/45)=58
We move all terms to the left:
x(29/45)-(58)=0
We add all the numbers together, and all the variables
x(+29/45)-58=0
We multiply parentheses
29x^2-58=0
a = 29; b = 0; c = -58;
Δ = b2-4ac
Δ = 02-4·29·(-58)
Δ = 6728
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:
$\sqrt{\Delta}=\sqrt{6728}=\sqrt{3364*2}=\sqrt{3364}*\sqrt{2}=58\sqrt{2}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-58\sqrt{2}}{2*29}=\frac{0-58\sqrt{2}}{58} =-\frac{58\sqrt{2}}{58} =-\sqrt{2} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+58\sqrt{2}}{2*29}=\frac{0+58\sqrt{2}}{58} =\frac{58\sqrt{2}}{58} =\sqrt{2} $

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