(5x^(2)-4)^((1)/(4))=x

Solution for (5x^(2)-4)^((1)/(4))=x equation:

(5x^(2)-4)^((1)/(4))=x

We move all terms to the left:

(5x^(2)-4)^((1)/(4))-(x)=0

We add all the numbers together, and all the variables

(5x^2-4)^(+1/4)-x=0

We add all the numbers together, and all the variables

-1x+(5x^2-4)^(+1/4)=0

We multiply all the terms by the denominator


-1x*4)+(5x^2+1-4)^(=0

We add all the numbers together, and all the variables

-1x*4)+(5x^2=0

Wy multiply elements

-4x^2=0

a = -4; b = 0; c = 0;
Δ = b2-4ac
Δ = 02-4·(-4)·0
Δ = 0
Delta is equal to zero, so there is only one solution to the equation

                              Stosujemy wzór:
$x=\frac{-b}{2a}=\frac{0}{-8}=0$