Which of the following quadratic equation has 2/3 and -1/4 as their roots
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4 as their roots
Which of the following quadratic equation has 2/3 and -1/4 as their roots
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Verified answer
Answer:
12x² - 5x - 2
Step-by-step explanation:
Given (roots):
x = ²/₃
x = -¹/₄
The two factors are (3x - 2) and (4x + 1).
Use the FOIL method:
(3x - 2)(4x + 1)
= (3x)(4x) + (3x)(1) + (-2)(4x) + (-2)(1)
= 12x² + 3x - 8x - 2
= 12x² - 5x - 2
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Answer and Explanation:
The roots of a quadratic equation are 2/3 and -1/4.
It is can be written as (x - 2/3)(x + 1/4) when finding its quadratic equation.
Multiply (x - 2/3)(x + 1/4).
The answer will be: