What is the answer to sqrt(5x+4)=sqrt(9-x)+7 ?

The answer to sqrt(5x+4)=sqrt(9-x)+7 is x=9

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sqrt(5x+4)=sqrt(9-x)+7

5 x + 4 = 9 - x + 7

x = 9

Solution steps

5 x + 4 = 9 - x + 7

Remove square roots

36 x^{2} - 648 x + 2916 = 1764 - 196 x

Solve

36 x^{2} - 648 x + 2916 = 1764 - 196 x : x = 9, x = \frac{32}{9}

x = 9, x = \frac{32}{9}

Verify Solutions:

x = 9

True

, x = \frac{32}{9}

False

The solution is

x = 9

7 x + 1 - x = 1

3 x - 8 + 2 x + 1 + 1 = 0

7 x + 2 - 3 x + 6 = 6

3 x + 5 - 2 x + 3 = x + 2

v + 3 - 1 = 7

What is the answer to sqrt(5x+4)=sqrt(9-x)+7 ?
The answer to sqrt(5x+4)=sqrt(9-x)+7 is x=9
Solve for x: sqrt(5x+4)=sqrt(9-x)+7
The solution is x=9