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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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1. B 2. C

Step-by-step explanation:

1. x^2-18x+(18/2)^2=19+(18/2)^2

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On Mars, an object weighs 38% as much as on Earth. How much would a person who weighs 165 pounds on Earth weigh on Mars?
nikdorinn [45]

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62.7

Step-by-step explanation:

165 * 0.38 = 62.7


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In 2001 the mint indoor pool vault record was 20 and 1/6 the women’s record for the indoor pool vault was 15 and 5/12 FT what is
blondinia [14]

Answer:

35 and 7/12 feet is the combined height of the two records.

Step-by-step explanation:

Height of the indoor pool vault record for men = 20 and 1/6 ft =\frac{121}{6} ft

Height of indoor pool vault record for women = 15and 5/12 ft =\frac{185}{12} ft

The combined height of the two records :

\frac{121}{6} ft+\frac{185}{12} ft

\frac{121\times 2}{6\times 2} ft+\frac{185}{12} ft

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\frac{242+185}{12} ft=\frac{427}{12}=35\frac{7}{12}

35 and 7/12 feet is the combined height of the two records.

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3 years ago
Which inequality represents that - 14 more
babunello [35]

Answer:

A) -14 + 2n > 18

Step-by-step explanation:

inequality represents that - 14 more than twice a number is no less than 18.

<h3>Hope it is helpful...</h3>
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2 years ago
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