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If sum=5, Product=-36 Then find the 2 numbers.

Question

If sum $= 5$ , Product $= - 36$
Then find the $2$ numbers.

Views: 630 students

Found 3 tutors discussing this question

Scarlett Discussed

If sum

= 5

, Product

= - 36

Then find the

2

numbers.

15 mins ago

Discuss this question LIVE

15 mins ago

Text solutionVerified

Let the numbers be

x

and

y

then

x + y = 5

and

x y = - 36

\Rightarrow y = - \frac{36}{x}

\Rightarrow x - \frac{36}{x} = 5 \Rightarrow x^{2} - 36 = 5 x

\Rightarrow x^{2} - 5 x - 36 = 0 \Rightarrow x^{2} - 9 x + 4 x - 36 = 0

\Rightarrow

x (x - 9) + 4 (x - 9) = 0 \Rightarrow (x + 4) (x - 9) = 0

\Rightarrow

x = - 4, 9

So numbers are

- 4, 9 or 9, - 4

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Question Text	If sum $= 5$ , Product $= - 36$ Then find the $2$ numbers.
Answer Type	Text solution:1
Upvotes	150