Question

& find
zeroes of
x² – 2x - 3=0
​

Answer 1

1

Step-by-step explanation:

& find

zeroes of

x² – 2x - 3=0

Answer 2

Answer:

Given that 

a and b are the zeros of 

x2−2x+3

Then, 

We know that 

Sum of zeros =−coeff. of x2coeff. of x

a+b=−+1−2

a+b=2−−−−−−−−(1)

Now, 

Product of zeros =coeff. of x2constant term

a.b=13

ab=3−−−−−−−−−−−(2)

If 2a+3 and 2b+3 are the zeros of other polynomial.

Then

Sum of zeros =2a+3+2b+3

=2(a+b)+6

=2(2)+6

=10

Sum of zeros =10

Product of zeros =(2a+3)(2b+3)

=4ab+6a+6b+9

=4ab+6(a+b)+9

=4×3+6×2+9

=12+12+9

=24+9

Product of zeros =33

Now,

Equation of polynomial 

x2− (Sum of zeros) x+ product of zeros =0

x2−10x+33=0

Hence, this is the answer.