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jeyben [28]
3 years ago
8

For what value of k are the roots of the quadratic equation kx (x-2)+6=0 equal?​

Mathematics
1 answer:
ser-zykov [4K]3 years ago
3 0

Answer:

\boxed{\sf k=6}

Step-by-step explanation:

\sf kx (x-2)+6=0

Expand brackets.

\sf kx^2 -2kx+6=0

This is in quadratic form.

\sf ax^2 +bx+c=0

Since this is for equal roots:

\sf b^2 -4ac=0

\sf a=k\\b=-2k\\c=6

\sf (-2k)^2 -4(k)(6)=0

\sf 4k^2-24k=0

\sf 4k(k-6)=0

\sf 4k=0\\k=0

\sf k-6=0\\k=6

Plug k as 0 to check.

\sf \sf 0x^2 -2(0)x+6=0\\6=0

False.

So that means k must equal 6.

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Answer:

8/3=2/0.75

Step-by-step explanation:

The variable that you are looking for should be the simplified version of the number on the left.

That is where the 2 would come in. Both numbers should be divided by 4 to gat the answer.

8÷4 = 2

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Hello,

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2 years ago
Sustituir. 20c + 15r + 75p + 50e​
AVprozaik [17]

Answer:

8c - 7r + 10p - 20e

Step-by-step explanation:

Subtract (20c + 15r + 75p + 50e) - (12c + 22r + 65p + 70e)

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Open bracket

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Collect like terms

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Step-by-step explanation:

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200/2 = 100

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