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AysviL [449]
3 years ago
6

What types of solutions will a quadratic equation have when the discriminant b2 − 4ac in the quadratic formula is a perfect squa

re?
Mathematics
1 answer:
netineya [11]3 years ago
4 0

<em>The discriminant must be zero.</em>

Step-by-step explanation:

A Perfect-Square Trinomial is given by the form:

(\alpha x \pm \beta)^2=(\alpha^2x^2 \pm 2\alpha x \beta + \beta^2)

The discriminant in the quadratic formula is:

\Delta=b^2-4ac \\ \\ \\ Here: \\ \\ a= \alpha^2 \\ \\ b=2\alpha \beta \\ \\ c=\beta^2 \\ \\ \\ So: \\ \\ \Delta=(2\alpha \beta )^2-4(\alpha^2)(\beta^2) \\ \\ \Delta=4\alpha^2 \beta^2-4\alpha^2 \beta^2=0

So in order to get a perfect square,<em> the discriminant must be zero.</em>

<em></em>

<h2>Learn more:</h2>

Discriminant: brainly.com/question/1537997

#LearnWithBrainly

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The ratio of children to adults in a supermarket is 1 : 5
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Answer: There are 75 Adults in the supermarket ask me why if you want a full on explanation. The full on reason of why it is 75 is because if you have a ratio of 1:5 and you now the one is for the kids and it is 15. Then you add 15 from 1 until you get to the 5th ratio. Hence, it brings you all the way to 75 adults. I hope this helped you, and anyone else

Step-by-step explanation:

5 0
3 years ago
Complete the table below for the function y = 5x - 2.
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Well I’ll just make my own table
Key/legend: when y = 0 x = -2
X=|-3 |-2 | -1| 0|1 |2|3 |4 |5 |
Y=|17 |-12|-7|-2|3|8|13|18|23|
6 0
3 years ago
10 times as much as 6,000 is 1/10 of?
egoroff_w [7]

Answer:

10 x 6,000 is 60,000. now divide it by ten. its 6,000 because its 1/10 of it so yes, 6,000

6 0
3 years ago
Mean , median, mode of 3,5,7,2,3,7,9,2
jarptica [38.1K]
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3 0
3 years ago
Miya is picking up two friends to go the beach. She drives from her house to
Serga [27]

Answer:

Option (C)

Step-by-step explanation:

Coordinates of the point representing the location of Miya → (1, 10)

Coordinates of the point representing the location of Drea → (13, 1)

Coordinates of the point representing the location of Francine → (16, 1)

Coordinates of the point representing the location of Beach → (19, 4)

Distance between Miya and Drea = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

                                                        = \sqrt{(13-1)^2+(1-10)^2}

                                                        = \sqrt{144+81}

                                                         = 15 miles

Distance between Drea and Francine = \sqrt{(16-13)^2+(1-1)^2}

                                                               = 3 miles

Distance between Francine and Beach = \sqrt{(19-16)^2+(4-1)^2}

                                                                  = \sqrt{9+9}

                                                                  ≈ 4.2 miles

Total distance between Miya and the beach = 15 + 3 + 4.2

                                                                          = 22.2 miles

Option (C) is the answer.

5 0
3 years ago
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