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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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Work out the greatest possible value of 3x-2y with the numbers 5,6,7,8,9,10
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Answer:

The greatest possible value of 3x - 2y is 20

Step-by-step explanation:

3x - 2y ------- 1

For getting the greatest possible value we must get the greatest value available, which is 10 and put it in place of x .

As 2y is being subtracted in the eq 1, we must put the smallest value available in the eq 1 to get the greatest possible result.

put x = 10 and y = 5 in eq 1

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Smallest possible value from the eqaution will be obtained by putting y = 10 and x = 5

3 (5) - 2 (10)

= 15 - 20

= -5



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