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The product of two consecutive integers is 420. An equation is written in standard form to solve for the smaller integer by factoring.
Question
The product of two consecutive integers is 420. An equation is written in standard form to solve for the smaller integer by factoring.
What is the constant of the quadratic expression in this equation?
x2 + x +
= 0
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Mathematics
4 years
2021-09-05T11:19:58+00:00
2021-09-05T11:19:58+00:00 1 Answers
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Answers ( )
Answer:
-420
Step-by-step explanation:
let the two consecutive integers be
x and (x + 1)
The product of two consecutive integers is 420
x(x + 1) = 420
Distribute
x² + x = 420
Subtract 420 from both sides
x² + x – 420 = 0
The constant is
-420