What is the answer to sqrt(x^2+9)+sqrt(9x^2+25)=18 ?

The answer to sqrt(x^2+9)+sqrt(9x^2+25)=18 is x=4,x=-4

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sqrt(x^2+9)+sqrt(9x^2+25)=18

x^{2} + 9 + 9 x^{2} + 25 = 18

x = 4, x = - 4

Solution steps

x^{2} + 9 + 9 x^{2} + 25 = 18

Remove square roots

64 x^{4} + 5440 x^{2} + 115600 = 11664 x^{2} + 32400

Solve

64 x^{4} + 5440 x^{2} + 115600 = 11664 x^{2} + 32400 : x = \frac{5 13}{2}, x = - \frac{5 13}{2}, x = 4, x = - 4

x = \frac{5 13}{2}, x = - \frac{5 13}{2}, x = 4, x = - 4

Verify Solutions:

x = \frac{5 13}{2}

False

, x = - \frac{5 13}{2}

False

, x = 4

True

, x = - 4

True

The solutions are

x = 4, x = - 4

9 = t^{2} - 16

n = (12 - n)^{\frac{1}{2}}

3 x + 2 = - 5

n - 7 = 5

- 2 4 x - 1 = - 10

What is the answer to sqrt(x^2+9)+sqrt(9x^2+25)=18 ?
The answer to sqrt(x^2+9)+sqrt(9x^2+25)=18 is x=4,x=-4
Solve for x: sqrt(x^2+9)+sqrt(9x^2+25)=18
The solution is x=4,x=-4