The product of two consecutive integers is 156. what is their sum?

-1

Step-by-step explanation:

"Consecutive" means one after the other. Let the lesser number = x, while the greater number = x + 1 (as it is directly after the lesser number).

Set the equation:

x * (x + 1) = 156

Simplify. Distribute x to both terms within the parenthesis:

x(x + 1) = 156

x² + x = 156

Set the equation = 0. Subtract 156 from both sides:

x² + x (-156) = 156 (-156)

x² + x - 156 = 0

Solve for x.

x² + x - 156 = 0

x          13

x           - 12

(x + 13)(x - 12) = 0

Solve for x. Set each parenthesis = 0. Isolate the variable, x.

x + 13 = 0

x + 13 (-13) = 0 (-13)

x = -13

x - 12 = 0

x - 12 (+12) = 0 (+12)

x = 12

x = -13 , 12.

Solve for their sum. Add:

-13 + 12 = -1

-1 is your answer.

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