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lesya692 [45]
2 years ago
6

Find a quadratic polynomial each with the given number as the sum and product of its zeros respectively

Mathematics
2 answers:
Pavlova-9 [17]2 years ago
8 0

Answer:

The answer is 4x² – x – 4 = 0

Step-by-step explanation:

<h2>1st Method </h2><h3><u>Given</u>;</h3>
  • Sum of zeroes = α + β = (-b)/a = 1/4
  • Product of zeros = αβ = c/a = 1

Where,

  • a = 4
  • b = 1
  • c = 4

So, one quadratic polynomial satisfying is given condition is 4x² – x – 4 = 0

<h2>2nd Method</h2>

Sum of zeroes = 1/4

Product of zeros = 1

Remember this formula

x² – (α + β)x + αβ

x² – 1/4x + 1

4x² – x – 4 = 0

Thus, The quadratic polynomial is

4x² – x – 4 = 0.

NARA [144]2 years ago
5 0

Step-by-step explanation:

sum of zeroes = 1/4

product of its zeros = 1

so,

4x^2- x - 4

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Solve the equation. 2x + 12 = 2(x + 6)
Vilka [71]

Answer:

Infinitely many solutions

Step-by-step explanation:

Step 1- Distribute into the parenthesis.

2x+12= 2(x+6)

2x+12= (2)x+(2)6

Step 2- Multiply

2x+12= 2x+12

Since they are equal, they are infinite.

5 0
3 years ago
Find the product. 7/10 X 3/6
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3 years ago
What are the coordinates of a point that is 7 strides west of (2,-1)
Marat540 [252]
(-5,-1) would be the coordinates since the only thing we’re changing by moving west is that we’re subtracting from the x value. Therefore, 2-7 is -5 so we get -5,-1
4 0
3 years ago
Is the product of 12 and 3/4 more or less than 12?
faust18 [17]
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3 0
3 years ago
Two equations are given below: a – 3b = 22 a = b – 2 What is the solution to the set of equations in the form (a, b)? (–10, –8)
aliya0001 [1]
Hi Kristian

a - 3b = 22
a = b - 2

We need to solve a = b -2 for a
First, we need to substitute b - 2 for a in a - 3b = 22
a - 3b = 22
b - 2 - 3b = 22
-2b - 2 = 22
 -2b = 22 + 2
-2b = 24
b = 24/-2
b = -12

Now substitute -12 for b in a = b - 2
a = b -2
a= -12 - 2
a= -14

Thus, the solution is a = -14 and b = -12

The correct option is the last one (-14,-12)


If you have questions about my answer, please let me know.


Good luck! 

4 0
3 years ago
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