Question

sum of two numbers is 5 and their product is -24 .find the numbers?​

Answer 1

Answer:

sum of two numbers is 5

x+y=5

x*y=-24

y=5-x

x+5-x=5

Answer 2

Answer:

Required value of two numbers are 8 and (-3).

Step-by-step explanation:

Given,sum of two numbers is 5 and their product is -24.

Here we want to find value of two numbers.

Let two numbers be x and y.

According to question,

$x + y = 5...(1)$

and $xy = - 24....(2)$

We know,

${(a - b)}^{2} = {(a + b)}^{2} - 4ab$

So,

${(x - y)}^{2} = {(x + y)}^{2} - 4xy \\ = {5}^{2} - 4 \times ( - 24) \\ = 25 + 96 \\ = 121$

So,

$x - y = \sqrt{121} \\ = \sqrt{11 \div \times 11} \\ = 11 .....(3)$

We are adding equation (1) and (3),

$x + y + x - y = 5 + 11 \\ 2x = 16 \\ x = \frac{16}{2} \\ x = 8$

We are putting value of x is equation (1),

$8 + y = 5 \\ y = 5 - 8 \\ y = - 3$

So, required two numbers are 8 and (-3).

This is a problem of Equation.

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