The quadratic equation 2x2 - 7x + 6 = 0 has
(a) Two distinct real roots
(b) two equal real roots
(c) No real roots
(d) more than two real roots
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Answer:
D =b²-4ac
D = (-7)² - 4×2×6
D = 49 - 48
D = 1
b2 −4ac > 0 There are two real roots.
ans- (b) two equal real roots
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A quadratic equation with real coefficients can have either one or two distinct real roots, or two distinct complex roots. In this case the discriminant determines the number and nature of the roots. There are three cases: If the discriminant is positive, then there are two distinct roots.
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