Math, asked by Helping1, 3 months ago

The equation
has a pair of equal roots. All its roots are,
X^4 +9x^3+12x^2 – 80x-192 = 0​

Answers

Answered by nithish121
0

Answer:

Given equation, x

4

+9x

3

+12x

2

−80x−192=0

Consider f(x)=x

4

+9x

3

+12x

2

−80x−192

∴f’(x)=4x

3

+27x

2

+24x−80

Now, HCF of f(x) and f’(x) is (x+4). Hence −4 is atleast a double root of f(x)=0

f(x) can be factored as (x+4)

2

(x

2

+x−12)or(x+4)

3

(x−3)

∴ Roots of the given equation are −4,−4,−4,3

Answered by umarfarooq481214
0

Answer:

Hlo friend

who is nithish so intelligent to solve such a long question

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