What is the answer to sqrt(100-p)= p/2-10 ?

The answer to sqrt(100-p)= p/2-10 is p=36

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sqrt(100-p)= p/2-10

100 - p = \frac{p}{2} - 10

p = 36

Solution steps

100 - p = \frac{p}{2} - 10

Multiply both sides by

2

100 - p \cdot 2 = \frac{p}{2} \cdot 2 - 10 \cdot 2

Simplify

100 - p \cdot 2 = p - 20

Square both sides:

400 - 4 p = p^{2} - 40 p + 400

400 - 4 p = p^{2} - 40 p + 400

Solve

400 - 4 p = p^{2} - 40 p + 400 : p = 36, p = 0

p = 36, p = 0

Verify Solutions:

p = 36

True

, p = 0

False

The solution is

p = 36

(5 x^{2} - 4)^{\frac{1}{2}} = 2 x

7 = - 3 x - 11 - 3

x + 2 = x + 6

a, x = a + b

x + 2 = 0

What is the answer to sqrt(100-p)= p/2-10 ?
The answer to sqrt(100-p)= p/2-10 is p=36
Solve for p: sqrt(100-p)= p/2-10
The solution is p=36