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MAXImum [283]
3 years ago
9

If the roots of a quadratic equation are 1±√5, then the product of the roots is

Mathematics
2 answers:
Drupady [299]3 years ago
5 0
The plus-minus sign represents that there are two possible outcomes.

In this case, we have 1 \pm \sqrt{5}. When we branch out the possibilities we got 2 values: 1 + \sqrt{5} and 1 - \sqrt{5}

Those are the roots of this equation. When they ask their product, they want you to multiply both numbers.

When we multiply them: (1 + \sqrt{5}) \times( 1 - \sqrt{5})

When we FOIL the we get: 1 \times 1 - 1 \times \sqrt{5} + 1 \times \sqrt{5} - \sqrt{5} \times \sqrt{5}

Simplify:
1 - \sqrt{5} + \sqrt{5} - 5
1 - 5 = 6

So the product of the two roots of this equation is 6.
Komok [63]3 years ago
4 0
The two roots would be 6
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the volume of a cone is 120 cubic centimeters. the height of the cone is 4.5 centimeters. determine the radius of a cone
kolbaska11 [484]
<h3> given:</h3>

<u>v = 120 \:  {cm}^{3}</u>

<u>h = 4.5 \: cm</u>

<h3>to find:</h3>

the radius of the cone.

<h3>solution:</h3>

r =  \sqrt{3 \frac{v}{\pi \: h} }

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7 0
2 years ago
The distance from Kenya's house to her job is 18 miles. One morning she left her house at 7:15 a.m. She traveled at the rate of
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20 minutes = 1/3 of an hour

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8 0
3 years ago
Which statement below compares the decimals correctly? (3 points) A 0.63 &lt; 0.48 B 0.48 = 0.63 C 0.63 &gt; 0.48 D 0.48 &gt; 0.
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Answer:

(c)\ 0.63 > 0.48

Step-by-step explanation:

Given

0.63 and 0.48

Required

Which compares them correctly

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(b)\ 0.48 = 0.63

This is also incorrect because 0.63 is greater

(c)\ 0.63 > 0.48

This is also correct because 0.63 is greater

(d)\ 0.48 > 0.63

This is also incorrect because 0.63 is greater

7 0
3 years ago
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