Find two numbers whose product is $-24$ and sum is 2.

Given:

Product of two numbers is $-24$ and their sum is 2.

To do:

We have to find the numbers.

Solution:

Let one of the numbers be x.

Thus implies,

The other number $=2-x$.

Therefore,

$x \times (2-x)=-24$

$2x-x^2=-24$

$x^2-2x-24=0$

Solving for $x$ by factorisation method, we get,

$x^2-6x+4x-24=0$

$x(x-6)+4(x-6)=0$

$(x-6)(x+4)=0$

$x-6=0$ or $x+4=0$

$x=6$ or $x=-4$

The two numbers are $-4$ and $6$.

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Updated on: 10-Oct-2022

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