Which of the following equations has two distinct real roots?
Same as the previous one. Let’s check the discriminant value for distinct real roots.
A. Given, 
∴ D = b2 - 4ac = 0
= 18 - 18 = 0
Hence, the roots are real and equal.
B. Given, x2 + x – 5 = 0
∴ D = b2 - 4ac = 0
= (1)2 - 4(1) (-5)
= 1 + 20 = 21 > 0
Hence, the roots are real and distinct.
C. Given, 
∴ D = b2 - 4ac = 0
= 32 - 4(1) (2√2)
Hence, the roots are imaginary.
D. Given, 5x2 - 3x + 1 = 0
∴ D = b2 - 4ac = 0
= (-3)2 - 4(5)(1)
= 9 – 20 < 0
Hence, the roots are imaginary.
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