What is the answer to sqrt(400-q)= q/(60)+5 ?

The answer to sqrt(400-q)= q/(60)+5 is q=300

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sqrt(400-q)= q/(60)+5

400 - q = \frac{q}{60} + 5

q = 300

Solution steps

400 - q = \frac{q}{60} + 5

Multiply both sides by

60

400 - q \cdot 60 = \frac{q}{60} \cdot 60 + 5 \cdot 60

Simplify

400 - q \cdot 60 = q + 300

Square both sides:

1440000 - 3600 q = q^{2} + 600 q + 90000

1440000 - 3600 q = q^{2} + 600 q + 90000

Solve

1440000 - 3600 q = q^{2} + 600 q + 90000 : q = 300, q = - 4500

q = 300, q = - 4500

Verify Solutions:

q = 300

True

, q = - 4500

False

The solution is

q = 300

2 x - 5 = 0

5 a - 9 = 5 a - 3

4 + - 3 m + 10 = m

2 x + x + 2 = 6

What is the answer to sqrt(400-q)= q/(60)+5 ?
The answer to sqrt(400-q)= q/(60)+5 is q=300
Solve for q: sqrt(400-q)= q/(60)+5
The solution is q=300