What is the answer to sqrt(x+5)+sqrt(20-x)=7 ?

The answer to sqrt(x+5)+sqrt(20-x)=7 is x=11,x=4

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sqrt(x+5)+sqrt(20-x)=7

x + 5 + 20 - x = 7

x = 11, x = 4

Solution steps

x + 5 + 20 - x = 7

Remove square roots

4 x^{2} - 256 x + 4096 = 3920 - 196 x

Solve

4 x^{2} - 256 x + 4096 = 3920 - 196 x : x = 11, x = 4

x = 11, x = 4

Verify Solutions:

x = 11

True

, x = 4

True

The solutions are

x = 11, x = 4

x + 3 + x - 3 = 3

x = 3 x

2 + x = x

x - 4 x - 12 = 0

2 x + 3 = 8

What is the answer to sqrt(x+5)+sqrt(20-x)=7 ?
The answer to sqrt(x+5)+sqrt(20-x)=7 is x=11,x=4
Solve for x: sqrt(x+5)+sqrt(20-x)=7
The solution is x=11,x=4