Question

Q) Find two integers whose

1. Product is (-72) and sum is 1

2. Product is 72 and sum is 38

3. Product is (-288) sum is (-2)

4. Produc is (-84) sum is 25

5. Product is 54 sum is (-15)

6. Product is 120 Sum is (-26)

7. Product is 60 sum is 17

8. Product is (-54) Sum is (-15)

9. Product is 6 sum is (-5)

10. Product is 30 sum is (-13)

pls give me the correct answer and correct explanation..​

Answer 1

Answer:

Find two numbers whose sum is 27 and product is 182.

Solution

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Let the first number be x then the second number will be 27−x.

$x(27-x)=182$$

⇒27x−x

2

=182

⇒x

2

−27x+182=0

⇒x

2

−13x−14x+182=0

⇒x(x−13)−14(x−13)=0

⇒(x−14)(x−13)=0

⇒x=14,13

If the first number is 14, then the second number is 13 and if the first number is 13, then the second number is 14.