What is the answer to sqrt(8-p)-sqrt(p+5)=1 ?

The answer to sqrt(8-p)-sqrt(p+5)=1 is p=-1

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sqrt(8-p)-sqrt(p+5)=1

8 - p - p + 5 = 1

p = - 1

Solution steps

8 - p - p + 5 = 1

Remove square roots

4 p^{2} - 8 p + 4 = 4 p + 20

Solve

4 p^{2} - 8 p + 4 = 4 p + 20 : p = 4, p = - 1

p = 4, p = - 1

Verify Solutions:

p = 4

False

, p = - 1

True

The solution is

p = - 1

4 + x = 2 - x

x + 6 + 2 = 1

y, x = 5 y^{10}

x + 1 = 5 - x

(x + 2)^{2} - x^{2} + 4 x - 1 = 7

What is the answer to sqrt(8-p)-sqrt(p+5)=1 ?
The answer to sqrt(8-p)-sqrt(p+5)=1 is p=-1
Solve for p: sqrt(8-p)-sqrt(p+5)=1
The solution is p=-1