The price the question, allow x be the smaller confident integer. Through this, the better integer might be represented as x + 1. The product of this integers is 812. The product may be created as,  (x)(x + 1) = 812Solving because that x in this problem gives x = 28 or x = -29. Since we room asked about positive integers only, x = -29 i do not care an extraneous root. Thus, the lesser integer is 28.

lets surname the smaller integer together x

the consecutive essence is x + 1 together its the following number

the product of this 2 numbers are 812

you obtain the product when you main point the 2 number

x * (x + 1) = 812

x² + 1x = 812

x² + x - 812 = 0

we have to very first find the factors of 812 * x² v a difference or amount of + x

the 2 components are +29x and - 28x which have a product of 812x² and also difference the +x

we substitute +x in the quadratic equation v +29x - 28x

x² + 29x -28x - 812 = 0

x(x + 29) -28(x + 29) = 0

(x+ 29)(x-28) = 0

so there are 2 possibilites because that x

x + 29 = 0 or x - 28 = 0

x = -29 x = 28

since we room asked to find positive integers native the 2 possible values that x

x = 28 is the confident number

therefore smaller integer is 28

The worth of the lesser creature is 28.

You are watching: The product of two consecutive positive integers is 812. what is the value of the lesser integer?

The value of the lesser creature is

Step-by-step explanation:

Let

x-------> the first positive integer (lesser integer)

x+1----> the 2nd positive integer

we know that

we know that

The formula to settle a quadratic equation that the form

is same to

in this difficulty we have

so

substitute in the formula

the systems is

The numbers are and

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