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

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

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2-sqrt(4-r^2)=6-r^2

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

r = 2, r = - 2

Solution steps

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

Remove square roots

4 - r^{2} = r^{4} - 8 r^{2} + 16

Solve

4 - r^{2} = r^{4} - 8 r^{2} + 16 : r = 2, r = - 2, r = 3, r = - 3

r = 2, r = - 2, r = 3, r = - 3

Verify Solutions:

r = 2

True

, r = - 2

True

, r = 3

False

, r = - 3

False

The solutions are

r = 2, r = - 2

x - 33 = 3 - x

3 - 3 x - 3 x + 2 = 3

s^{2} - 1 = 5 s - 5

2 m + 1 = 1 + m

0 = 15 x^{\frac{2}{3}} - 10 x

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