Question

For what values of x is x² + 2x = 24 true?

Answer 1

Answer:

x=6 or x=-4

Step-by-step explanation:

This question is under the topic factorisation... which means we will have to factorise the given equation before getting the answer

x^2+2x=24

To be able to factorise,we will have to substrate 24 from both sides

X^2+2x-24=0

Factorisation is when you get two numbers that when you add up it will give you one of the number given in the question as well as when you multiply it will also give you another number in the question

The general formula for factorisation

X^2-(sum of the two numbers)x+(product of two numbers)

Considering the question, we have -24, what will we multiply to get -24 and when add together it can give us +2

Let's consider+6&+4

If we should multiply them we will get +24 instead of-24 and if we should add up it will give 10 instead of 2...so it is not possible to use them

Let's consider +6 and-4

If we multiply them we will get -24

And if we add we will get +2

Therefore we are taking -6 and+4

X2-6x+4x-24=0

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

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

x=6 or x=-4