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lesya692 [45]
1 year ago
9

find the roots of the quadratic equation x^2-6x+k=0.giventhat one root is three times the other and that k is a constant.Also fi

nd the value of k​
Mathematics
1 answer:
arlik [135]1 year ago
7 0

x_{1}  = 3x_{2}  \\ x_{1}  - 3x_{2}  = 0 ←relation \: 1\\ x_{1}  + x_{2}  = 6 ←relation \: 2

(x_{1},x_{2}) : (4.5,1.5)

k = x_{1}x_{2} = 4.5 \times 1.5 = 6.75

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The solution is f².

<h3>How to solve for this</h3>

The question that we have here is of the form f to -1 power times -2. To have a better graphic image we can rewrite it as

f^-^1^(^-^2^)

Now we have to multiply the powers -1 and -2

Remember that in the rules of mathematics, the solution for -1 and -1 = 1

This tells us that - * - = +

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Therefore the power would be f²

<h3>How do you simplify exponents and powers?</h3>

In order to carry out the simplification of exponents what you have to do would be the multiplication of the exponents that are in the question. The base of the question remains unchanged.

For example, (2³)⁵ = 2³ˣ⁵ = 2¹⁵. For any positive number x and integers a and b: (x^a)^b = x^a^.^b

The exponents here are the numbers that are written above the base. They usually tell us how many times the base would have to be multiplied by itself to get a  solution.

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brainly.com/question/26130878

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Step-by-step explanation:

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Answer:

see below

Step-by-step explanation:

That is a LOT of questions

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