Question

What are two terms that add together to make -7 and that also multiply to make 6

Answer 1

Answer:

These two numbers are -1 and -6 respectively.

Step-by-step explanation:

Suppose first number is x and the second number is y.

Then according to question-

( x + y ) = -7 ..............................(i)

( x × y ) =  6 ................................(ii)

As we know that-

$( x - y )^{2}$ = $( x + y )^{2} - 4 x y$   .......................(iii)

Now, Putting values of equation (i), (ii)  in equation (iii)-

We get,

$( x - y )^{2}$ = $( - 7 )^{2}$   - 4 × 6

$( x - y )^{2}$  = 49 - 24

$( x - y )^{2}$  = 25

( x - y ) = $\sqrt{25}$

( x - y ) = 5..........................(iv)

After adding equation (i) and (iv)-

( x + y ) = -7

( x - y ) =  5

2 x = -2

x = -2 /2

x = -1

Now put x = -1 in equation (i)-

We get,

y = -7 - x

y = -7 - (- 1)

y = - 7 + 1

y = -6

       Hence the both numbers x and y are -1, -6 respectively.

Answer 2

Answer:

-6 and -1

Step-by-step explanation:

When you add

-6+(-1)

-6-1

-7.

When you multiply

-6x-1

6.

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