MATHEMATICS HIGH SCHOOL

The product of two consecutive integers is 420. Which quadratic equation can be used to find x, the lesser number?

Answers

Answer 1
Answer:

The product of two consecutive integers is 420 is 20 and 21.

Consider x one the two number

Then the successor of x = x + 1

Then x and x+1 are the consecutive numbers

Now according to the question,

The product of two consecutive integers is 420,

Then, multiply x and x+1 and equate it to 420

Therefore,

⇒           x(x+1) = 420

⇒           x² + x = 420

⇒ x² + x - 420 = 0

This is a quadratic equation

Now solve it to find the value of x

We can write it as,

⇒ x² + 21x - 20x  - 420 = 0

⇒ x(x + 21) - 20(x  + 21)  = 0

⇒ (x+21)(x-20) = 0

⇒ x = 20  or x = -21  

Since number should be an integer so - 21 is absurd.

Hence, consecutive numbers are,

20 and 21

Learn more about the multiplication visit:

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happy studying!

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Answers

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bengek hyung

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Answers


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If you already have two, then the chance of rolling another one is  1/6 .

So, starting from the beginning, the chance of rolling three of them
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Answers


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Assumption #1:  Each day that you work, you work for 8 hours.

Assumption #2:  You work for three days each week.

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