What is the answer to 5-x^2=sqrt(1+x^2) ?

The answer to 5-x^2=sqrt(1+x^2) is x=sqrt(3),x=-sqrt(3)

Solve for x: 5-x^2=sqrt(1+x^2)

The solution is x=sqrt(3),x=-sqrt(3)

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

x = 3, x = - 3

Decimal Notation

x = 1.73205 \dots, x = - 1.73205 \dots

Solution steps

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

Square both sides:

25 - 10 x^{2} + x^{4} = 1 + x^{2}

25 - 10 x^{2} + x^{4} = 1 + x^{2}

Solve

25 - 10 x^{2} + x^{4} = 1 + x^{2} : x = 22, x = - 22, x = 3, x = - 3

x = 22, x = - 22, x = 3, x = - 3

Verify Solutions:

x = 22

False

, x = - 22

False

, x = 3

True

, x = - 3

True

The solutions are

x = 3, x = - 3

4 x - 15 x + 14 = 0

10 + 9 x + 7 x + 8 = 2

5 x = 40 x^{- \frac{1}{2}}

What is the answer to 5-x^2=sqrt(1+x^2) ?
The answer to 5-x^2=sqrt(1+x^2) is x=sqrt(3),x=-sqrt(3)
Solve for x: 5-x^2=sqrt(1+x^2)
The solution is x=sqrt(3),x=-sqrt(3)