Answer:
q = 1, q = 9
Step-by-step explanation:
Equation: q - 6 = √(27 - 2q)
Exponents: (q - 6)² = 27 - 2q
Simplify: q² - 12q + 36 = 27 - 2q
Subtract: q² - 10q + 9 = 0
Two numbers: a + b = -10, ab = 9 --> a = -1, b = -9
Substitute: q² - 1q - 9q + 9 = 0
Simplify: (q - 1)(q - 9) = 0
Solve: q - 1 = 0, q - 9 = 0 --> q = 1, q = 9
