Mathematics
Equation 2x2 - 3x + 1 = 0 has :
distinct and real roots
no real roots
equal roots
imaginary roots
Quadratic Equations
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Answer
Comparing equation 2x2 - 3x + 1 = 0, with ax2 + bx + c = 0, we get :
a = 2, b = -3 and c = 1.
By formula,
D = b2 - 4ac
= (-3)2 - 4 × 2 × 1
= 9 - 8
= 1; which is positive.
Since, a, b and c are real numbers; a ≠ 0 and b2 - 4ac > 0
∴ Roots are real and unequal.
Hence, Option 1 is the correct option.
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