3x^2-(58/8)x+2=0

Solution for 3x^2-(58/8)x+2=0 equation:

3x^2-(58/8)x+2=0


Domain of the equation: 8)x!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

3x^2-(+58/8)x+2=0

We multiply parentheses

3x^2-58x^2+2=0

We add all the numbers together, and all the variables

-55x^2+2=0

a = -55; b = 0; c = +2;
Δ = b2-4ac
Δ = 02-4·(-55)·2
Δ = 440
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:

$\sqrt{\Delta}=\sqrt{440}=\sqrt{4*110}=\sqrt{4}*\sqrt{110}=2\sqrt{110}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{110}}{2*-55}=\frac{0-2\sqrt{110}}{-110}
=-\frac{2\sqrt{110}}{-110}
=-\frac{\sqrt{110}}{-55}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{110}}{2*-55}=\frac{0+2\sqrt{110}}{-110}
=\frac{2\sqrt{110}}{-110}
=\frac{\sqrt{110}}{-55}
$