What is the answer to 14-sqrt(16-x^2)=x^2 ?

The answer to 14-sqrt(16-x^2)=x^2 is x=2sqrt(3),x=-2sqrt(3)

Solve for x: 14-sqrt(16-x^2)=x^2

The solution is x=2sqrt(3),x=-2sqrt(3)

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14 - 16 - x^{2} = x^{2}

x = 23, x = - 23

Decimal Notation

x = 3.46410 \dots, x = - 3.46410 \dots

Solution steps

14 - 16 - x^{2} = x^{2}

Remove square roots

16 - x^{2} = x^{4} - 28 x^{2} + 196

Solve

16 - x^{2} = x^{4} - 28 x^{2} + 196 : x = 15, x = - 15, x = 23, x = - 23

x = 15, x = - 15, x = 23, x = - 23

Verify Solutions:

x = 15

False

, x = - 15

False

, x = 23

True

, x = - 23

True

The solutions are

x = 23, x = - 23

8 x^{\frac{3}{2}} - 24 = 0

8 x - 21 = 1

5 x + 19 - x + 19 = 2

What is the answer to 14-sqrt(16-x^2)=x^2 ?
The answer to 14-sqrt(16-x^2)=x^2 is x=2sqrt(3),x=-2sqrt(3)
Solve for x: 14-sqrt(16-x^2)=x^2
The solution is x=2sqrt(3),x=-2sqrt(3)