How do you solve this?
2 answers:
The method to solve this answer is fairly simple.
First, write out your brackets like so: (x )(x ), leaving a space for the number that you will use in this factorisation
Next, find two numbers that multiply to give you +20 (the integer), but also add to give you -9 (the coefficient of x). The two numbers are -4 and -5
Now, you can place the two numbers into the brackets to give you the factored form:
(x-4)(x-5)
We know this is correct because if you expand these brackets, you get your original expression (shown in the attached image)
First, write out your brackets like so: (x )(x ), leaving a space for the number that you will use in this factorisation
Next, find two numbers that multiply to give you +20 (the integer), but also add to give you -9 (the coefficient of x). The two numbers are -4 and -5
Now, you can place the two numbers into the brackets to give you the factored form:
(x-4)(x-5)
We know this is correct because if you expand these brackets, you get your original expression (shown in the attached image)
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We'll first simplify both sides of the expression to get (simply using the distributive property):
Then, we can simplify a little bit:
To solve for n, we have to isolate it. Let's subtract 3n from both sides to further simplify it:
Then, add 18 to both sides to get the value of n:
And that's your answer. If you have questions on how I got that, feel free to ask!
Then, we can simplify a little bit:
To solve for n, we have to isolate it. Let's subtract 3n from both sides to further simplify it:
Then, add 18 to both sides to get the value of n:
And that's your answer. If you have questions on how I got that, feel free to ask!