Question

if a and b are the zeros of the quadratic polynomial x2 - 4x + 1 then a + b is equal to .
please ​

Answer 1

Answer:

hope this helps mark me as Brrilentest

Step-by-step explanation:

ANSWER

α,β roots of f(x)=kx

2

+4x+4

Given α

2

+β

2

=24

We know α+β=

a

−b

=

k

−4

αβ=

a

c

=

k

4

(α+β)

2

=α

2

+β

2

+2αβ

(

k

−4

)

2

=24+2(

k

4

)

k

2

4

2

=24+2(

k

4

)

16=24k

2

+8k

2=3k

2

+k

0=3k

2

+k−2

0=3k

2

+3k−2k−2

0=3k(k+1)−2(k+1)

0=(k+1)(3k−2)

∴k=−1,

3

2

Answer 2

Answer:

If a and b are the zeroes of the polynomial x²- 4x + 1 then

a + b = -b/a

a+ b = -(-4)/1

a + b = 4

Hope you got it !!

Thank you ♡