What is the answer to sqrt(3(x^2-1))=x^2-1 ?

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

Solve for x: sqrt(3(x^2-1))=x^2-1

The solution is x=2,x=-2,x=1,x=-1

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3 (x^{2} - 1) = x^{2} - 1

x = 2, x = - 2, x = 1, x = - 1

Solution steps

3 (x^{2} - 1) = x^{2} - 1

Square both sides:

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

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

Solve

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

x = 2, x = - 2, x = 1, x = - 1

Verify Solutions:

x = 2

True

, x = - 2

True

, x = 1

True

, x = - 1

True

The solutions are

x = 2, x = - 2, x = 1, x = - 1

5 - x + 10 = 9, x

289 - x^{2} + 2 = 10

x + 3 + 5 = 3 4 x + 12

X - 3 = X - 5

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