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Dmitrij [34]
3 years ago
11

solve this word problem leading to quadratic equation. A certain number is subtracted from 18 and from 13. the product of the tw

o numbers obtained is 66. Find the first number​
Mathematics
1 answer:
-Dominant- [34]3 years ago
6 0

Answer:

x = 24 or 7

Step-by-step explanation:

Given a number is subtracted from 18 and 13.

Let us call this number $ x $.

From the given data we have $ x -18 $ and $ x - 13 $.

The product of these two numbers is $ (x - 18) (x - 13) = 66 $.

This leads us to the quadratic equation, mentioned in the question.

$ \implies x^2 -13x -18x +(13)(18) = 66 $.

$ \implies x^2 - 31x + 168 = 0 $

Solving for $ x $ we get $ x =24 $ or $x = 7$

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