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Nady [450]
1 year ago
11

Use the discriminant to describe the roots of

Mathematics
1 answer:
balu736 [363]1 year ago
3 0

The quadratic equation x² - 5x - 4 = 0 has two real roots as 41 > 0.

<h3>What is a quadratic equation?</h3>

A quadratic equation is an algebraic equation of degree two.

We know in a quadratic equation ax² + bx + c = 0, The discriminant D is        b² - 4ac.

If D > 0 the quadratic equation has two real roots.

If D = 0 the quadratic equation has one real root.

If D < 0 the quadratic equation has no real roots.

∴ In x² - 5x - 4 = 0,

Discriminant D is b² - 4ac.

= (-5)² - 4.1.(-4).

= 25 + 16.

= 41.

∴ D > 0 and the quadratic equation has two real roots.

learn more about discriminant here :

brainly.com/question/15884086

#SPJ1

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11. &lt; ABE and &lt; DBE are supplementary
Ilya [14]

Answer:

119°

Step-by-step explanation:

< DBE = 180° - < ABE

or, < DBE = 180° - 61°

or, < DBE = 119°

hope it works, fanks !!

7 0
3 years ago
Using the digits 0-9, at most only one time each, fill in the boxes to
ycow [4]

Answer:

2 * 3 + 4 * 5 = 26

5 * 7 + 1 * 8 = 43

Step-by-step explanation:

Given

_ * _ + _ * _ = _ _

Required

Fill in the boxes with digits 0 to 9

From the question we understand that the result must be two digits i.e. _ _

To solve this, we'll make use of trial by error method:

Fill the first two boxes wit 2 and 3: _ * _ becomes 2 * 3

Fill the next two boxes with 4 and 5: _ * _ becomes 4 * 5

So,we have

2 * 3 + 4 * 5

6 + 20

26

Hence, the first combination is 2 * 3 + 4 * 5 = 26

Another possible combination is:

Fill the first two boxes wit 5 and 7: _ * _ becomes 5 * 7

Fill the next two boxes with 1 and 8: _ * _ becomes 1 * 8

So,we have

5 * 7 + 1 * 8

35 + 8

43

Hence, another combination is 5 * 7 + 1 * 8 = 43

<em>Note that; there are more possible combinations</em>

7 0
3 years ago
Ten plus 6 times a number n is equal to 5 less than the number n
jasenka [17]
10 + 6n = n - 5
can you solve that? 
7 0
3 years ago
Read 2 more answers
Help meeee with this please
mote1985 [20]
Sorry i dont know this answer
8 0
3 years ago
70° ? 127° 146° Can I get some help with this?​
katen-ka-za [31]

Answer:

93 degrees

Step-by-step explanation:

First, you would need to observe the image and see where to start off. You can see that there is a triangle below the "?" and you would be able to get the answer if you can find the measures of the small triangle(because of vertical angles) So,

180-127= 53.

180-146=34.

Since the angles of a triangle adds up to 180 degrees, 53+34+x=180.

x=93

Now, just flip the angle around and "?" = 93 degrees.

4 0
3 years ago
Read 2 more answers
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