(7/4)(x)-2=4

Solution for (7/4)(x)-2=4 equation:

(7/4)(x)-2=4

We move all terms to the left:

(7/4)(x)-2-(4)=0


Domain of the equation: 4)x!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

(+7/4)x-2-4=0

We add all the numbers together, and all the variables

(+7/4)x-6=0

We multiply parentheses

7x^2-6=0

a = 7; b = 0; c = -6;
Δ = b2-4ac
Δ = 02-4·7·(-6)
Δ = 168
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:

$\sqrt{\Delta}=\sqrt{168}=\sqrt{4*42}=\sqrt{4}*\sqrt{42}=2\sqrt{42}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{42}}{2*7}=\frac{0-2\sqrt{42}}{14}
=-\frac{2\sqrt{42}}{14}
=-\frac{\sqrt{42}}{7}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{42}}{2*7}=\frac{0+2\sqrt{42}}{14}
=\frac{2\sqrt{42}}{14}
=\frac{\sqrt{42}}{7}
$