2 years ago

Find two integers whose sum is -20 and product is 99

Mathematics

2 answers:

Brums [2.3K]2 years ago

8 0

Answer:

Step-by-step explanation:

let the integers be x and y

x+y=-20

y=-20-x

xy=99

x(-20-x)=99

-20x-x²=99

x²+20x+99=0

x²+11x+9x+99=0

x(x+11)+9(x+11)=0

(x+11)(x+9)=0

x=-11,-9

when x=-11

-11+y=-20

y=-20=11=-9

when x=-9

-9+y=-20

y=-20+9=-11

so integers are -11,-9

IRINA_888 [86]2 years ago

3 0

Just here to get points lol

You might be interested in

Solve the system of equations:

PolarNik [594]

Answer:

D.(-1,-5) and (5,7)

Step-by-step explanation:

I used a graphing tool to graph the two equations together. When graphed, the equations intercept (5,7) and (-1,-5). Therefore, they are the solutions to the system.

Option D should be the correct answer.

4 0

3 years ago

A teacher has 36 students who were randomly assigned to 6 rows of 6 desks. She wants to survey the students

ivanzaharov [21]

Answer:

Step-by-step explanation:

Edge 2021

5 0

3 years ago

Tank a has a capacity of 9.5 gallons. 6 1/3 gallons of the tank's water are poured out. how many gallons of water are left in th

Gnesinka [82]

Remaining water in the tank is (19/2-19/3) gallons = 57-38/6=19/6 =3 1/6 gallons

6 0

3 years ago

Write the inverse of the function f(x) = 5x +3 ?

Ilia_Sergeevich [38]

Answer: f(x^-1) = x/5 - 3/5

Step-by-step explanation:

1. Replace f(x) with y

2. Swap the positions of x and y to make x = 5y + 3

3. Solve for y by subtracting 3 from both sides and dividing each side by 5

7 0

3 years ago

There are 8 books on a shelf, of which 2 are paperbacks and 6 are hardbacks. how many possible selections of 4 books from this s

trapecia [35]

$\displaystyle \binom{6}{3}\cdot2+\binom{6}{2}=\dfrac{6!}{3!3!}\cdot2+\dfrac{6!}{2!4!}=\dfrac{4\cdot5\cdot6}{2\cdot3}\cdot2+\dfrac{5\cdot6}{2}=40+15=55$

8 0

3 years ago