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6. Which of the following quadratic equations is equivalent to the rational
expression derived from the problem?
A. x2 - 34x + 120 = 0
C. 6x2 - 61x + 5 = 0
D. 6x2 - 60x + 5 = 0
B. x2 - 10x + 120 = 0​


Sagot :

Answer:

C. x² + 6x + 10 = 0

Step-by-step explanation:

sum of roots = -b/a = -(-6/1) = 6/1

product of roots = c/a = 10/1

Since the two values are similar fractions, the value of a is 1.

The values of b and c are 6 and 10, respectively.

Substituting these values to the general form of quadratic equation

ax² + bx + c = 0

x² + 6x + 10 = 0

Therefore, the answer is in letter C.

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