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miss Akunina [59]
3 years ago
8

how do I Translate the following verbal statement into an algebraic equation and then solve: Krystal bought a nightstand on sale

for $170, which was one-fourth of the original price. What was the original price of the nightstand
Mathematics
1 answer:
GREYUIT [131]3 years ago
6 0

Answer:the original price is $680

Step-by-step explanation:

1/4(x)=170

4×1/4(x)=4×170

x=$680

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\text{The roots are,}~ \alpha  = -5,~ \beta = 1 ~ \text{and}~ \gamma = 5\\\\\text{The polynomial is,}\\\\~~~x^3 - (\alpha + \beta + \gamma)x^2+(\alpha \beta + \beta \gamma+ \gamma \alpha)x - \alpha\beta \gamma\\\\=x^3 - (-5+1+5)x^2 +(-5 \cdot 1 + 1 \cdot 5 + 5 \cdot -5)x - (-5)(1)(5)\\\\=x^3 -(0+1)x^2 + (-5+5-25)x +25\\\\=x^3 -x^2 -25x +25

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