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irga5000 [103]
3 years ago
6

Solve the equation 16y(2–y)+(4y–5)2=0

Mathematics
1 answer:
zmey [24]3 years ago
6 0
16y(2−y)+(4y−5)(2)=0

Step 1: Simplify both sides of the equation.

−16y2+40y−10=0

Step 2: Use quadratic formula with a=-16, b=40, c=-10.

y=−b±√b2−4ac2a

y=−(40)±√(40)2−4(−16)(−10)2(−16)

y=−40±√960−32

y=54+−14√15 or y=54+14√15

Answer:

y=54+−14√15 or y=54+14√15

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The hotel charge before tax in the second city was $1500 lower than in the first. This gives the equation:

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Therefore, the hotel charge in the first city is $5250 while the hotel charge in the second city is $3750

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