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Kurt says that if he starts with a number n and multiplies it by the next whole number and then adds 3,he will get 45

n(n+1)+3=45

what number is n make Kurt's equation true

Verified Answer :

ssepeda98

n=6
Just plug it in to your equation to check it.

The number (whole number) that makes Kurt's equation true is 6

Solving quadratic equations

From the question, we are to determine the value of n that makes Kurt's equation true

To determine the value of n, we will solve the equation

The given equation is

n(n+1)+3=45

First, clear the brackets by distributing n

n² + n + 3 = 45

n² + n + 3 -45 = 0

n² + n - 42 = 0

Now, solve the quadratic equation by factoring

n² + n - 42 = 0

n² +7n - 6n -42 = 0

n(n +7) -6(n +7) = 0

(n -6)(n +7) = 0

Then,

n - 6 = 0 OR n + 7 = 0

n = 6 OR n = -7

Since the number is a whole number, the value of n will be 6.

Hence, the number that makes Kurt's equation true is 6.

Learn more on Solving quadratic equations here: https://brainly.com/question/24334139

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