Mr. Brust tried to simplify the following but made a really common mistake in the problem. Identify the mistake, then show the c
2 answers:
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Answer:
x = 8 ± 2i
Step-by-step explanation:
Given
x² - 16x + 60 = - 12 ( subtract 60 from both sides )
x² - 16x = - 72
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 8)x + 64 = - 72 + 64, thus
(x - 8)² = - 8 ( take the square root of both sides )
x - 8 = ± = ± 2i
( add 8 to both sides )
x = 8 ± 2i
Let x be the amount each friend pays .
There are five friends contributing ,so 5x will be the total money collected .
It needs to equal the price plus the tax, 210 + 15 = 225
So the equation becomes,
5x = 225
dividing right side by 5, we have
x = 225/5 = 45
Answer: So each frien pays $45.