write the nature of roots of the quadratic equation 2x²-7x+9=0?
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2x² - 7x + 9 = 0
Here,
a = 2
b = -7
c = 9
The discriminant b² - 4ac = ?
=> (-7)² - 4(2)(9)
=> 49 - 72
=> - 23
As the discriminant= -23 and smaller than 0
if b² - 4ac > 0
then no real roots exist.
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