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Question
The roots of the equation 2x2 – 6x + 3 = 0 are ______.
Options
real, unequal and rational
real, unequal and irrational
real and equal
imaginary
MCQ
Fill in the Blanks
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Solution
The roots of the equation 2x2 – 6x + 3 = 0 are real, unequal and irrational.
Explanation:
∵ D = (b2 – 4ac)
= (–6)2 – 4 × 2 × 3
= 36 – 24
= 12
12 is greater than 0 and it is not a perfect square; therefore, the roots of the equation are real, unequal and irrational.
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