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

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

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

The solution is x=sqrt(2),x=-sqrt(2)

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

x = 2, x = - 2

Decimal

x = 1.41421 \dots, x = - 1.41421 \dots

Solution steps

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

Square both sides:

x^{2} - 1 = 9 - 6 x^{2} + x^{4}

x^{2} - 1 = 9 - 6 x^{2} + x^{4}

Solve

x^{2} - 1 = 9 - 6 x^{2} + x^{4} : x = 5, x = - 5, x = 2, x = - 2

x = 5, x = - 5, x = 2, x = - 2

Verify Solutions:

x = 5

False

, x = - 5

False

, x = 2

True

, x = - 2

True

The solutions are

x = 2, x = - 2

9 - x = 0

y, y^{\frac{2}{3}} = x

70 - x - 54 - x = 2

x - 6 = 18 - 3 x

5 x + 7 = 25

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