Question

The product of two consecutive positive integers is 42 what are the integers

Answer 1

Answer:

The two consecutive integers whose product is 42 is 6 and 7.

Step-by-step explanation:

hope this will help you or otherwise i will send you formula

Answer 2

Step-by-step explanation:

Given: The product of two consecutive positive integers is 42.

To find: What are the integers ?

Solution:

Step 1: Assume the Integers.

Let first integer is x.

Then next must be (x+1); as both integers are consecutive.

Step 2: Form the equation from given condition.

$x(x + 1) = 42$

${x}^{2} + x - 42 = 0$

Step 3: Solve quadratic equation.

${x}^{2} + 7x - 6x - 42 = 0$

$x(x + 7) - 6(x + 7) = 0$

$(x + 7)(x - 6) = 0$

Values of x are -7 and 6.

Discard

$x = - 7$

because, we must take positive integer,according to the question.

Step 4: Write both integers.

As first integer is 6, so next is

$x + 1 = 6 + 1 = 7$

Final answer:

The numbers are 6 and 7.

Hope it helps you.

To learn more on brainly:

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