2(n - 1) + 4n = 2(3n - 1)
1 answer:
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Answer:
The population of the town at the end of 2017 was 65,550.
Step-by-step explanation:
The population of the town was 60,000 in the beginning of 2016.
In 2016, the total population is increased by 15%.
Therefore the population is increased by 9000 and the population of the town at the end of 2016 was
In 2017, the total population is decreased by 5%.
Therefore the population is decreased by 3450 and the population of the town at the end of 2017 was
Therefore the population of the town at the end of 2017 was 65,550.
The error made by zacharias in solving the quadratic equation 0 = -2x² + 5x - 3 using quadratic formula is; the 2 in the numerator should be –2.
<h3>Quadratic equation</h3>There are four methods of solving quadratic equation. Namely;
- Factorization method
- Completing the square method
- Graphical method
- Formula method
0 = -2x² + 5x - 3
- Using quadratic formula
x = -b ± √b² - 4ac / 2a
where,
- a = -2
- b = 5
- c = -3
x = -b ± √b² - 4ac / 2a
x = -5 ± √5² - 4(-2)(-3) / 2(-2)
= -5 ± √25 - (24) / -2
= -5 ± √1 / -2
= -5/2 ± 1/2
= -5/2 - 1/2 or x = -5/2 + 1/2
= -5-1 / 2 or -5+1/ 2
x = -6/2 or -4/2
x = -3 or -2
Therefore, the solution to the quadratic equation is x = -3 or -2
Learn more about quadratic equation:
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