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nikitadnepr [17]
3 years ago
5

Convert standard form to factored form f(x)=x^+5x+6(LT 5.6)​

Mathematics
1 answer:
Serjik [45]3 years ago
3 0

Answer:

(x+3)(x+2)

Step-by-step explanation:

f(x)=x²+5x+6=x²+2x+3x+6=x(x+2)+3(x+2)=(x+3)(x+2)

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y=1/2x-2

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Mariana [72]

d<em>y</em>/d<em>x</em> = 4 + √(<em>y</em> - 4<em>x</em> + 6)

Make a substitution of <em>v(x)</em> = <em>y(x)</em> - 4<em>x</em> + 6, so that d<em>v</em>/d<em>x</em> = d<em>y</em>/d<em>x</em> - 4. Then the DE becomes

d<em>v</em>/d<em>x</em> + 4 = 4 + √<em>v</em>

d<em>v</em>/d<em>x</em> = √<em>v</em>

which is separable as

d<em>v</em>/√<em>v</em> = d<em>x</em>

Integrating both sides gives

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Get the solution back in terms of <em>y</em> :

2√(<em>y</em> - 4<em>x</em> + 6) = <em>x</em> + <em>C</em>

You can go on to solve for <em>y</em> explicitly if you want.

√(<em>y</em> - 4<em>x</em> + 6) = <em>x</em>/2 + <em>C</em>

<em>y</em> - 4<em>x</em> + 6 = (<em>x</em>/2 + <em>C </em>)²

<em>y</em> = 4<em>x</em> - 6 + (<em>x</em>/2 + <em>C </em>)²

7 0
3 years ago
Hello can anyone help me plz its math
AlladinOne [14]
The answer would be 4/9 hope it helped(:
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4 years ago
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