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BeeShyanne
21.04.2021 •
Mathematics
Sariah has just begun training for a half-marathon, which is Latex: 13.1 13 . 1 miles. Since she was on vacation, she started the training program later than the rest of her running club. There are Latex: 6 6 weeks of training runs remaining before the race. In her first week of training, Sariah ran Latex: 3 3 miles. She ran Latex: 4.5 4 . 5 miles the second week and Latex: 6 6 miles the third week. If she continues to increase the length of her runs the same way, will there be enough time left in the training program for her to get up to half-marathon distance?
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Ответ:
Given:
The equation is
To find:
The value of x.
Solution:
We have,
It can be written as
Splitting the middle term, we get
Using zero product property, we get
Therefore, the values of x are 0, 4 and 5.