What is the answer to sqrt(x^2+9)+x^2=21 ?

The answer to sqrt(x^2+9)+x^2=21 is x=4,x=-4

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sqrt(x^2+9)+x^2=21

x^{2} + 9 + x^{2} = 21

x = 4, x = - 4

Solution steps

x^{2} + 9 + x^{2} = 21

Remove square roots

x^{2} + 9 = 441 - 42 x^{2} + x^{4}

Solve

x^{2} + 9 = 441 - 42 x^{2} + x^{4} : x = 33, x = - 33, x = 4, x = - 4

x = 33, x = - 33, x = 4, x = - 4

Verify Solutions:

x = 33

False

, x = - 33

False

, x = 4

True

, x = - 4

True

The solutions are

x = 4, x = - 4

3 x - 1 = 2 x - 5

x - 3 = x - 9

4 - 3 x + 1 = 0

4 - x = 7

What is the answer to sqrt(x^2+9)+x^2=21 ?
The answer to sqrt(x^2+9)+x^2=21 is x=4,x=-4
Solve for x: sqrt(x^2+9)+x^2=21
The solution is x=4,x=-4