Question

Find the sum and product of zeroes og p (x)=2(x2-3)+x

Answer 1

Answer:

Steps:-

LET the roots of quadratic equation be

x,y

p(x)= 2x2-6+x

p(x)= 2x2-6+xp(x)=2x2+x-6

p(x)= 2x2-6+xp(x)=2x2+x-6//quadratic equation is

p(x)= 2x2-6+xp(x)=2x2+x-6//quadratic equation isf(x)=ax2+bx+c.

p(x)= 2x2-6+xp(x)=2x2+x-6//quadratic equation isf(x)=ax2+bx+c. Here. a=2, b=1 ,c= -6

p(x)= 2x2-6+xp(x)=2x2+x-6//quadratic equation isf(x)=ax2+bx+c. Here. a=2, b=1 ,c= -6Sum of roots = -b /a

x + y = -1/2

Product of roots = c/a

= -6/2

xy = 3

Hence, Sum of roots =-1/2

Product of roots. = 3

Thank you

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