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Gala2k [10]
3 years ago
5

Find the pattern and use inductive reasoning to predict the next number in the sequence 5,5,10,30,120,…

Mathematics
1 answer:
vladimir2022 [97]3 years ago
5 0
600 because it’s times 5
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3 years ago
<img src="https://tex.z-dn.net/?f=4x%5E%7B2%7D%20%2B4x%2B1%3D0" id="TexFormula1" title="4x^{2} +4x+1=0" alt="4x^{2} +4x+1=0" ali
Arturiano [62]

D=b^2-4ac\\D=4^2-4(4)(1)\\D=16-16\\D=0

Meaning there's only 1 real root, complete the square and you get the answer.

(x+y)^2=x^2+2xy+y^2

We're going to use this formula, so if x² = 4x² then x = 2x

and if y² = 1 then y = 1

Straight to formula

(2x+1)^2=0\\x=-\frac{1}{2}

Because (2x+1)² is basically (2x+1)(2x+1), we get the same value of x.

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(When D=0, there are only 1 real root.)

(When D<0, there are no real roots, but 2 complex roots.)

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3 years ago
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