Question

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

x2 + 1 = 342
x2 − 1 = 342
x2 − x + 342 = 0
x2 − x − 342 = 0

Answer 1

D. x2 − x − 342 = 0

Explanation:

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

(Edge 2023)

Answer 2

x² + x = 342

Explanation:

Let x be the 1st integer

x + 1 be the 2nd integer

x(x+1) = 342

Simplify

x² + x = 342

or in standard form:

x² + x - 342 = 0