What is the answer to (sqrt(x^2+3))/x =2x ?

The answer to (sqrt(x^2+3))/x =2x is x=1,x=-1

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(sqrt(x^2+3))/x =2x

\frac{x ^{2} + 3}{x} = 2 x

x = 1, x = - 1

Solution steps

\frac{x ^{2} + 3}{x} = 2 x

Multiply both sides by

x

\frac{x ^{2} + 3}{x} x = 2 xx

Simplify

x^{2} + 3 = 2 x^{2}

Square both sides:

x^{2} + 3 = 4 x^{4}

x^{2} + 3 = 4 x^{4}

Solve

x^{2} + 3 = 4 x^{4} : x = 1, x = - 1

x = 1, x = - 1

Verify Solutions:

x = 1

True

, x = - 1

True

The solutions are

x = 1, x = - 1

x + 2 x + 1 = 13

x + 3 + x = 3

x^{2} + x + 1 = x + 1

5 + 2 x - 7 = x

4 x - 1 = 3

What is the answer to (sqrt(x^2+3))/x =2x ?
The answer to (sqrt(x^2+3))/x =2x is x=1,x=-1
Solve for x: (sqrt(x^2+3))/x =2x
The solution is x=1,x=-1