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anna4060
13.10.2020 •
Mathematics
Write a quadratic formula or expression for this: The product of a certain whole number and four more than that number is 140, write a quadratic expression / formula and find the number.
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Ответ:
number is 10
Step-by-step explanation:
let n be the number, then 4 more than the number is n + 4, thus
n(n + 4) = 140 , that is
n² + 4n = 140 ( subtract 140 from both sides )
n² + 4n - 140 = 0
Consider the factors of the constant term (- 140) which sum to give the coefficient of the n- term (+ 4)
The factors are + 14 and - 10 , since
14 × - 10 = - 140 and 14 - 10 = + 4 , thus
(n + 14)(n - 10) = 0 ← in factored form
Equate each factor to zero and solve for n
n + 14 = 0 ⇒ n = - 14
n - 10 = 0 ⇒ n = 10
Since n is a whole number the the required number is 10
Ответ:
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