Question

Reema multiplied two numbers and got product -4 she then subtracted the same two number's and got 5 as difference find the two numbers

Answer 1

Step-by-step explanation:

Given,

When Reema multiplies

= 1 × ( -4 )

= ( -4 )

then...

1 - ( -4 )

= 1 + ( -4 ) = 5

So, the numbers are 1 and ( -4 )

Answer 2

Two numbers are -1 and 4 or -4 and 1.

Given:

Reema multiplied two numbers and got product -4 she then subtracted the same two number's and got 5 as difference

To find:

find the two numbers

Solution:

Let the two numbers be x and y

We have been given that the difference of these numbers is 5.

So,

x - y = 5

So,

x = 5 + y

Now, we have also been given their product

x * y = -4

We will put the value of x in its place

(5+y) * y = -4

5y + y² = -4

y² + 5y +4 = 0

We will divide 5y into 4y and y

y² + y + 4y +4 = 0

y(y+1) + 4(y + 1) = 0

(y + 1)(y+4) = 0

Now, we will find both values of y by putting both y+1 and y+4 equal to 0

y + 1 = 0

y = -1

y + 4 = 0

y = -4

So, there are two values of y -1 nd -4

Now, we will put each value of y in eq 1 to find x

x = y + 5

x = -1 +5 = 4

x = y + 5

x = -4 + 5

x = 1

Hence, the two numbers are either 1 and -4 or 4 and -1.

#SPJ2