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luda_lava [24]
2 years ago
8

What is the least common multiple of 31, 28, and 14?

Mathematics
1 answer:
WINSTONCH [101]2 years ago
5 0

<u>⇨ By prime factorization method:</u>

\begin{array}{r | l}{\sf{2 & {\sf14,28,31} \\\cline{2-2} {\sf2 & {\sf7,14,31 \\\cline{2-2} {\sf7 & {\sf7,7,31 \\\cline{2-2} {\sf31 & {\sf1,1,31 \\\cline{2-2} & {\sf1,1,1\end{array}

{\sf{LCM\: = \:2 \:x\: 2 \:x\: 7 \:x\: 31}}\\\\{\sf{LCM \:= \:868}}\\}\\{\sf{Therefore,}}\\\\{\sf{LCM\:(14,\: 28,\: 31)\: = \:868

{\boxed{\sf{LCM\:=\:868}}

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What are the four points of intersection between 4x^2 + y^2 - 4y - 32 = 0 and x^2 - y - 7 = 0 ? Solve algebraically
tensa zangetsu [6.8K]
Remember (a²-b²)=(a-b)(a+b)

solve for  a single variable
solve for y in 2nd

add y to both sides
x²-7=y
sub (x²-7) for y in other equaiton

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expand
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sub back to find y

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for √5
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for -√5
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4 years ago
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8 0
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tresset_1 [31]

Answer:

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3 0
3 years ago
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