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

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

Solve for x: sqrt(6-x^2)=4-x^2

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

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

x = 2, x = - 2

Decimal Notation

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

Solution steps

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

Square both sides:

6 - x^{2} = 16 - 8 x^{2} + x^{4}

6 - x^{2} = 16 - 8 x^{2} + x^{4}

Solve

6 - x^{2} = 16 - 8 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

11 = 12 b - 59

x - 5 + x = 5

3 = 11 - (4 - 6 x)^{\frac{1}{2}}

x - 3 = 9 x - 27

x - 1 + x = 3

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