Question

Check Whether √3 and -2√3 are the roots of the equation x²-3√3x+6=0

Answer 1

Answer:

to check whether given number is zero of a polynomial, replace x by the given number iin the polynomial, if it reduces to zero, then yes, the given number is the zero of the polynomial.

put x = √3

p(√3) = (√3)^2 - 3*√3*√3 + 6

= 3 - 3*3 + 3

= 6 - 9

= - 3

√3 is not a zero of the given polynomial

now p(-2√3) = (-2√3)^2 - 3*√3*√3 + 6

= 12 - 9 + 6

= 9

-2√3 is also not zero of the given polynomial