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almond37 [142]
2 years ago
8

The equation x^2+ (k - 3)x + (3 - 2k) = 0, where k is a constant, has two distinct real roots.

Mathematics
1 answer:
Lisa [10]2 years ago
4 0

Step-by-step explanation:

For quadratic equation ax^2 + bx + c = 0 to have two distinct real roots,

b^2 - 4ac must be positive.

b^2 - 4ac > 0

(k - 3)^2 - 4(3 - 2k) > 0

k^2 - 6k + 9 - 12 + 8k > 0

k^2 + 2k - 3 > 0

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3 years ago
At the family reunion there were 15 more family members there this year than at the last family reunion. There were 46 people at
Kipish [7]
The equation would be x+15=46. I came up with this equation because we are given the total number of people at the reunion this year and we know how many more people are here this year than last year. The unknown is the number of people last year. That is why x would represent the number of people at the reunion last year because that is the unknown. If we add 15 to the number of people last year, it will give us 46( the number of people at the reunion this year).
To find x, we just use opposite operation to get the answer. Opposite of addition is subtraction so, we subtract the number of more people and the reunion this year from the total number of people at the reunion to get the unknown number of people at the reunion last year. 46-15 is 31. Therefore we know that 31 people were at the reunion last year
3 0
3 years ago
Read 2 more answers
Please help me out with this
tekilochka [14]
Yes they are similar
7 0
2 years ago
Please help me out, please and thank you​
Serhud [2]
Well, a bisector is a ray that cuts the angle in half, which means that both of the angles are now the same. So, we get:
8x - 1 = 4x + 3
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x = 1
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