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tankabanditka [31]
3 years ago
15

if 1/5 and -2 are respectively product and sum of the zeroes of a quadratic polynomial. Find the polynomial.​

Mathematics
2 answers:
Nikitich [7]3 years ago
4 0

Answer:

this might be the equation

Step-by-step explanation:

To find: Quadratic Polynomial.

where , ( α + β ) is sum of zeroes and αβ is product of zeroes.

Tcecarenko [31]3 years ago
3 0

Answer:

Below

Step-by-step explanation:

The polynomial has the following form:

● ax^2 + bx + c

Let x'and x" be the zeroes

● x x'= (1/5)

● x + x' = -2

When we khow the sum and the product of two numbers we can find them by solving the following quadratic equation:

● x^2 - Sx + p

S is the sum of those numbers and P is their product

● x^2 - (-2x) + 1/5

● x^2 + 2x + (1/5)

We will solve this equation by graphing it. The solutions are the intersection points with the x-axis

The solutions are approximatively -0.1 and - 1.9 ( pictures below)

● x'= -0.1

● x"= -1.9

The intial polynomial can be written in the factored form using the zeroes as:

● a ( x - x') (x- x")

● a (x -(-0.1)) ( x -(-1.9))

● a ( x+0.1) ( x+1.9)

The sum of the zeroes is -2 and their product is (1/5)

Assuming a = 1

● (x + 0.1) ( x +1.9)

● x^2 + 1.9x + 0.1x + 0.19

● x^2 + 2x + 0.19

Multiply by 100 to eliminate the decimal numbers

● 100x^2 + 200x + 19

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Convert 10 hours into minutes
Neko [114]

Answer:

600 minutes

Step-by-step explanation:

60 minutes in an hour

60 × 10 is 600

8 0
2 years ago
(8x – 20)-16 =10x+51
Lemur [1.5K]

When solving this equation, you get the answer as -43.5.

To solve, we simply need to collect like-terms and then rearrange to get x on one side and numbers on the other:

(8x - 20) - 16 = 10x + 51

8x - 36 = 10x + 51

- 8x

-36 = 2x + 51

- 51

-87 = 2x

÷ 2

-43.5 = x

I hope this helps!

6 0
3 years ago
simplify 4 square root of 2 end root plus 7 square root of 2 end root minus 3 square root of 2. 2 square root of 8 8 square root
Alex787 [66]

<u>Answer</u>

8√2


<u>Explanation</u>

Simply: 4√2 + 7√2 - 3√2

Let √2 = x

4√2 + 7√2 - 3√2 = 4x + 7x - 3x

                             = 11x - 3x

                             = 8x

Substituting x with √2

4√2 + 7√2 - 3√2 = 8√2

4 0
2 years ago
Read 2 more answers
Help pleaseeeeeeeee;)))))))))Please someone help
allochka39001 [22]

Answer:

A. 50.24‬in

B. 200.96 square inches

C. $36.17

Step-by-step explanation:

A. C=2πr

2*3.14*8= 50.24‬

B. A=πr^2

3.14*8^2= 200.96

C.

200.96*0.18=36.1728‬

Rounded= $36.17

Please mark brainliest! :)

6 0
3 years ago
5 squared divided by 2 to the power of 5​
xeze [42]

Answer:

0.78125 or 25/32

Step-by-step explanation:

5^2 - 25

2^5 = 32

6 0
3 years ago
Read 2 more answers
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