What is the answer to sqrt(4x^2)-sqrt(x^2)=6 ?

The answer to sqrt(4x^2)-sqrt(x^2)=6 is x=6,x=-6

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sqrt(4x^2)-sqrt(x^2)=6

4 x^{2} - x^{2} = 6

x = 6, x = - 6

Solution steps

4 x^{2} - x^{2} = 6

Factor

4 x^{2} - x^{2} : x^{2}

x^{2} = 6

Square both sides:

x^{2} = 36

x^{2} = 36

Solve

x^{2} = 36 : x = 6, x = - 6

x = 6, x = - 6

Verify Solutions:

x = 6

True

, x = - 6

True

The solutions are

x = 6, x = - 6

(x - 5)^{\frac{2}{3}} = 49

(x - 5)^{\frac{2}{3}} = 64

(x - 5)^{\frac{2}{3}} = 36

46 = 2 3 x

What is the answer to sqrt(4x^2)-sqrt(x^2)=6 ?
The answer to sqrt(4x^2)-sqrt(x^2)=6 is x=6,x=-6
Solve for x: sqrt(4x^2)-sqrt(x^2)=6
The solution is x=6,x=-6