Mathematics: The product of two consecutive integers is 342. which quadratic equation can be used to find x, the greater number?

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The product of two consecutive integers is 342. which

chloeann5397

08.01.2022

The value of greater integers can be 19 or -18.

Quadratic equation used : x^2-x-342=0

Step-by-step explanation:

Since we have given that

Two consecutive integers i.e. x and (x-1).

So, product of two consecutive integers = 342.

According to question, it becomes,

$x(x-1)=342\\\\x^2-x=342\\\\x^2-x-342=0\\\\x^2-19x+18x-342=0\\\\x(x-19)+18(x-19)=0\\\\x-19=0\ or\ x+18=0\\\\x=19\ or\ x=-18$

Hence , the value of greater integers can be 19 or -18.

Quadratic equation used : x^2-x-342=0

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