2x(^3/4)=58

Solution for 2x(^3/4)=58 equation:

2x(^3/4)=58

We move all terms to the left:

2x(^3/4)-(58)=0

We multiply parentheses

2x^2-58=0

a = 2; b = 0; c = -58;
Δ = b2-4ac
Δ = 02-4·2·(-58)
Δ = 464
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:

$\sqrt{\Delta}=\sqrt{464}=\sqrt{16*29}=\sqrt{16}*\sqrt{29}=4\sqrt{29}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{29}}{2*2}=\frac{0-4\sqrt{29}}{4}
=-\frac{4\sqrt{29}}{4}
=-\sqrt{29}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{29}}{2*2}=\frac{0+4\sqrt{29}}{4}
=\frac{4\sqrt{29}}{4}
=\sqrt{29}
$