## Find the quadratic equation whose solutions have a sum of 3/4 and a product of 1/8. To get started, you will need to figure out the values o

Question

Find the quadratic equation whose solutions have a sum of 3/4 and a product of 1/8. To get started, you will need to figure out the values of the coefficients a, b, and c. Then show that the resulting equation works by solving the equation, followed by checking that the solutions have the indicated sum and product. Your final equation should have coefficients that are integers, with no common factors between them all (other than 1).

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2021-10-21T08:09:53+00:00
2021-10-21T08:09:53+00:00 1 Answer
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## Answers ( )

Answer:

8x² – 6x + 1 = 0

Step-by-step explanation:

Quadratic:

x² – (sum)x + product = 0

x² – ¾x + ⅛ = 0

To avoid fractions, multiply by 8

8x² – 6x + 1 = 0

x = ½ and ¼