For what values of x is x² + 2x = 24 true?
A -6 and 4
B -4 and 6
C 4 and -6
D 6 and 4

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

x=6 and x=3

beep beep imma sheep

your exact question is kind of difficult to understand, so maybe an example will explain what you're supposed to do? i'll work through the first problem on the worksheet.

suppose you have a tray of 652 brownies, and you have 5 friends that you want to feed without picking favorites. how many brownies can you dole out to each of your friends in equal amounts? how many will be left over for you to eat?

what you're doing here is finding a way to arrange the number 652 as the sum of integer multiple of 5 and some remainder:

here ("q" for quotient) is the number of brownies each of your friends get, and is the remainder. that's the basic idea behind division.

we break up the number 652 into parts so that the leading digit stands on its own:

652 = 600 + 52

first we check if it's possible to hand out exactly 100 brownies to each friend. with 5 friends, this means we want to know if we can take out 500 brownies from the tray. we can do this 1 time because we have 600 brownies to take from, and when we do that we're left with 100 + 52 brownies to divvy up. so we know that

652 = 1*500 + 152

next we want to know if it's possible to hand out exactly 10 brownies per friend. if we can, we have to remove 50 brownies from the tray each time until we can't. we have 152 brownies left, and we know that 3(50) = 150, so

152 = 3*50 + 2

now we have 2 brownies left in the tray. is it possible to hand 1 out to each of your 5 friends? no, you'd need a minimum of 5 brownies to do that. so the last 2 are yours.

putting everything together, we found that

652 = 1*500 + 3*50 + 2

and we can rearrange this to write

652 = 5*100 + 5*30 + 2

652 = 5(100 + 30) + 2

652 = 5*130 + 2

so and .

you might be more accustomed to the table depicting the algorithm. that's just a compact way of organizing what we've done above. you can consult the image i've attached below.