Answer:
x = (1/2) (-9 ± √73)
Step-by-step explanation:
Using completing the square method
x²+9x+2=0
x²+9x = -2 (complete the square by adding (9/2)² to both sides)
x²+9x + (9/2)² = -2 + (9/2)²
( x + (9/2) )² = -2+ (9/2)²
( x + (9/2) )² = -2+ (81/4)
( x + (9/2) )² = 73/4
x + (9/2) = ± √(73/4)
x + (9/2) = ± √(73) / 2
x = -(9/2) ± √(73) / 2 (factorize out (1/2) )
x = (1/2) (-9 ± √73)
so the 5 gallons ones is 40% acid, how much acid solute is in it anyway? well just 40% of 5 or namely 0.4*5 = 2 gallons.
the 3 gallons one is 50%, likewise it has 0.50 * 3 = 1.5 gallons of acid solute in it.
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Answer: 12.034 yards
Step-by-step explanation:
Given the following :
Height to which egg is protected = 11 meters
Converting this height of 11 meters to yards
Let the height in yards = h
1 meter = 1.094 yards
11 meters = h
(1 * h) = (11 * 1.094)
h = 12.034 yards
Hence, the height in yards to which egg is protected = 12.034 yards
Answer:
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Step-by-step explanation:
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