Question

x2+5x-1=0 then find the value of a3+B3​

Answer 1

Step-by-step explanation:

We have,

a and b are zeros of

x

2

−5x+4=0

now,

sum of zeros =a+b=−

coeff of x

2

coeff of x

=−

1

−5

a+b=5

product of zeros =a.b=

coeff of x

2

constant term

=

1

4

a.b=4

now,

a

3

1

+

b

3

1

⇒

a

3

b

3

a

3

+b

3

⇒

(ab)

3

(a+b)

3

−3ab(a+b)

⇒

4

3

(5)

3

−3×4×(5)

⇒

64

125−60

⇒

64

65

Hence, this is the answe