What is the answer to sqrt(49-x^2)-sqrt(25-x^2)=3 ?

The answer to sqrt(49-x^2)-sqrt(25-x^2)=3 is x=(5sqrt(3))/2 ,x=-(5sqrt(3))/2

Solve for x: sqrt(49-x^2)-sqrt(25-x^2)=3

The solution is x=(5sqrt(3))/2 ,x=-(5sqrt(3))/2

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49 - x^{2} - 25 - x^{2} = 3

x = \frac{5 3}{2}, x = - \frac{5 3}{2}

Decimal Notation

x = 4.33012 \dots, x = - 4.33012 \dots

Solution steps

49 - x^{2} - 25 - x^{2} = 3

Remove square roots

225 = 900 - 36 x^{2}

Solve

225 = 900 - 36 x^{2} : x = \frac{5 3}{2}, x = - \frac{5 3}{2}

x = \frac{5 3}{2}, x = - \frac{5 3}{2}

Verify Solutions:

x = \frac{5 3}{2}

True

, x = - \frac{5 3}{2}

True

The solutions are

x = \frac{5 3}{2}, x = - \frac{5 3}{2}

x^{2} - 17 x - 16 x = 0

2 x + 5 - \frac{3}{2 x + 5} = - 2

\frac{- x}{25 - x ^{2}} = \frac{1}{2}

x + 4 = 5 x + 4

What is the answer to sqrt(49-x^2)-sqrt(25-x^2)=3 ?
The answer to sqrt(49-x^2)-sqrt(25-x^2)=3 is x=(5sqrt(3))/2 ,x=-(5sqrt(3))/2
Solve for x: sqrt(49-x^2)-sqrt(25-x^2)=3
The solution is x=(5sqrt(3))/2 ,x=-(5sqrt(3))/2