To figure this out, we must multiply the highest 3 digit number and the highest 1 digit number together.
9 is the highest 1 digit number.
999 is the highest 3 digit number.
999 × 9 = 8991
The greatest possible product is 8,991.
Answer:
x = 3/2 ± √(9/4 − 1/2 y)
Step-by-step explanation:
y = 6x − 2x²
First, factor out the leading coefficient:
y = -2 (x² − 3x)
Complete the square.
y = -2 (x² − 3x + 9/4 − 9/4)
y = -2 (x² − 3x + 9/4) + 9/2
y = -2 (x − 3/2)² + 9/2
Solve for x.
-1/2 y = (x − 3/2)² − 9/4
9/4 − 1/2 y = (x − 3/2)²
±√(9/4 − 1/2 y) = x − 3/2
x = 3/2 ± √(9/4 − 1/2 y)
