What is the answer to a^2=100-9sqrt(100-a^2) ?

The answer to a^2=100-9sqrt(100-a^2) is a=10,a=-10,a=sqrt(19),a=-sqrt(19)

Solve for a: a^2=100-9sqrt(100-a^2)

The solution is a=10,a=-10,a=sqrt(19),a=-sqrt(19)

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a^{2} = 100 - 9 100 - a^{2}

a = 10, a = - 10, a = 19, a = - 19

Solution steps

a^{2} = 100 - 9 100 - a^{2}

Remove square roots

a^{4} - 200 a^{2} + 10000 = 8100 - 81 a^{2}

Solve

a^{4} - 200 a^{2} + 10000 = 8100 - 81 a^{2} : a = 10, a = - 10, a = 19, a = - 19

a = 10, a = - 10, a = 19, a = - 19

Verify Solutions:

a = 10

True

, a = - 10

True

, a = 19

True

, a = - 19

True

The solutions are

a = 10, a = - 10, a = 19, a = - 19

G (x) = x^{2} - 9

x^{2} + 16 = 30

x + 1 = 10

x - 7 + 1 = x

3 = 5 - x

What is the answer to a^2=100-9sqrt(100-a^2) ?
The answer to a^2=100-9sqrt(100-a^2) is a=10,a=-10,a=sqrt(19),a=-sqrt(19)
Solve for a: a^2=100-9sqrt(100-a^2)
The solution is a=10,a=-10,a=sqrt(19),a=-sqrt(19)