Math, asked by Nikess2263, 1 year ago

Number of real roots of equation 3x^2+4x+5=0 have

Answers

Answered by AnureetKaurMand00010
3

Step-by-step explanation:

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Answered by ashutoshmishra3065
0

Answer:

Step-by-step explanation:

Given: The equation is 3x^2+4x+5=0

Find: To find the number of real roots of equation

Solution: The standard form of the quadratic equation ax2 + bx + c = 0and the formula used is

x = [-b ± √(b2 - 4ac)]/ 2a

It is given that

3x2 - 4x + 5 = 0

Here a = 3, b = -4 and c = 5

Substituting these values in the formula

x = [-(-4) ± √((-4)2 - 4 × 3 × 5)] /  (2 × 3)

By further simplification

x = [4 ± √(16 - 60)] / 6

x = [4 ± √-44] / 6

So we get,

x = [4 ± 2√-11] / 6

x = [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 3x^2+4x+5=0 is nil.

#SPJ2

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