Question

find the relationship between between the zeros and their
coefficients x^2-7x -18 = 0


please send ASAP​

Answer 1

Answer:

zeroes are 9 or -2

Step-by-step explanation:

x²-7x-18=0

here

a=1, b= -7, c= -18

x²-x(2-9)-18=0

x²+2x-9x-18=0

taking x common from (x²-2x) and taking 9 common from (9x-18)

x(x+2)-9(x+2)=0

x-9=0 and x+2=0

x=9 or x=-2

let α=9 β=-2

sum of zeroes=α+β=-b/a

=9+(-2)=

9-2=-b/a

7= -(-7)/1

7=7/1

7=7

product of zeroes

α×β=c/a

9×-2=-18/1

-18=-18

hence verified