Number of real roots of equation 3x^2+4x+5=0 have
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Step-by-step explanation:
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Step-by-step explanation:
Given: The equation is
Find: To find the number of real roots of equation
Solution: The standard form of the quadratic equation and the formula used is
= [-b ± √(b2 - 4ac)]/ 2a
It is given that
Here a = 3, b = -4 and c = 5
Substituting these values in the formula
= [-(-4) ± √((-4)2 - 4 × 3 × 5)] / (2 × 3)
By further simplification
= [4 ± √(16 - 60)] / 6
= [4 ± √-44] / 6
So we get,
= [4 ± 2√-11] / 6
= [2 ± i √11] / 3
Also the discriminant is b2 - 4ac = -44 < 0. Thus we have imaginary roots.
Hence the number of real roots of equation is nil.
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