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maxonik [38]
2 years ago
10

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

Mathematics
2 answers:
Virty [35]2 years ago
7 0

Answer:

These two numbers are <em>-1 and -6 </em>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-

<em>(x - y)^{2} =  (x + y )^{2}  - 4 x y .......................(iii)</em>

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<em>..........................(iv)</em>

After adding equation (i) and (iv)-

( x + y ) = -7

<u>( x - y ) =  5</u>

<u> 2 x = -2</u>

x = -2 /2

<em>x = -1 </em>

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

We get,

y = -7 - x

y = -7 - (- 1)

y = - 7 + 1

y = -6

        <em>Hence the both numbers x and y are -1, -6 respectively.</em>

kumpel [21]2 years ago
4 0
-2 and -4 this is the answer
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