Question

root 2x 2-3x-2 root 2 find the zeroes and verify the relationship

Answer 1

$\textbf{Answer is in Attachment !}$

Answer 2

√2x²-3x-2√2=0

√2x²-4x+x-2√2=0

√2x(x-2√2)+1(x-2√2)=0

(√2x+1)(x-2√2)=0

√2x+1=0

x=  -1/√2

x-2√2=0

x=2√2

∴ x= (-1/√2) ,(2√2)

Hence the zeros of the given quadratic polynomial are (-1/√2) ,(2√2)  −

Verification of the relationship between the roots and the coefficients:

Sum of the roots =(-1/√2) +(2√2)

                            = (- 1 +4)/√2

                             =3/√2

Product of the roots = (-1/√2) ×(2√2)

                                  = -2

  Ans :-  x = (-1/√2) ,(2√2)                          

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