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Alla [95]
3 years ago
10

Solve for the roots in simplest form using the quadratic formula: 4x2 + 4x = -5

Mathematics
1 answer:
weqwewe [10]3 years ago
6 0

Answer:

Step-by-step explanation:

Move all terms to one side

4x^2 + 4x + 5 = 0

Plug into quadratic formula

x = (-4 <u>+</u> \sqrt{16 - 4(4)(5)}) / 2(4)

  = (-4 <u>+</u> \sqrt{-64})/8

At this point, there are no real answers. The roots to this equation are complex.

x = (-4 <u>+</u> 8i)/8

  = (-1 <u>+</u> 2i)/2

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Find the measure of arc AB. Round to the nearest tenth if necessary.
Alina [70]

Answer:

Your answer is 120 degrees.

Step-by-step explanation:

3 0
2 years ago
The following data values represent a population. What is the variance of the values? 7, 5, 11, 1, 11
MaRussiya [10]
The mean is 35/5=7

The variance is the average of the sum of squared differences of each element from the mean:

v=((7-7)^2+(5-7)^2+(11-7)^2+(1-7)^2+(11-7)^2)/5

v=(0+4+16+36+16)/5

v=14.4
3 0
3 years ago
Read 2 more answers
Substitute the values for a, b, and c into b2 – 4ac to determine the discriminant. Which quadratic equations will have two real
garik1379 [7]

The complete question is

"Substitute the values for a, b, and c into b2 – 4ac to determine the discriminant. Which quadratic equations will have two real number solutions? (The related quadratic function will have two x-intercepts.) Check all that apply.

0 = 2x^2 – 7x – 9

0 = 4x^ 2 – 3x – 1

The quadratic equations that have real number solutions are; 4x^2 – 3x – 1, and 2x^2 – 7x – 9.

<h3>What is the formula for Discriminant?</h3>

The formula for finding the discriminant is

b^2 - 4ac

The solution contains the term \sqrt{b^2 - 4ac} which will be:

Real and distinct if the discriminant is positive

Real and equal if the discriminant is 0

Non-real and distinct roots if the discriminant is negative

For the quadratic equation 2x^2 - 7x - 9

b^2 - 4ac

= (-7) ^2 - 4( 2) ( -9)\\\\= 49 + 72 = 121

This equation has two real number solutions.

For the quadratic equation 4x^ 2 - 3x- 1

b^2 - 4ac

= (-3) ^2 - 4( 4) ( -1)\\\\= 9 + 16 = 25

This equation will have two real number solutions.

Learn more on discriminant here:

brainly.com/question/1537997

#SPJ1

5 0
2 years ago
Can some one help me understand this???
lesya [120]

Answer: x=40 y=140

Step-by-step explanation:

To work out x:

The angles in a triangle always add up to 180.

You already have one angle which is 50 the bottom left angle is a right angle and right angles always equal 90. To work out x, do 50+90=140 then do 180-140=40.

To work out y:

Angles on a straight also add up to 180.

So as you have figured out what x is (40) you would take it away from 180 to give you y.

180-40=140

Hope this helps :)

8 0
2 years ago
Start time 7:30 pm elapsed time _ end time 9:29 pm
user100 [1]
 what r u asking so I help you 
6 0
3 years ago
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