Find the Zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients
a) 5x ^ 2 - 29x + 20
b) 2sqrt(2) * x ^ 2 - 9x + 5sqrt(2)
c) 3sqrt(3) * x ^ 2 - 19x + 10sqrt(3)
d) x ^ 2 - x - 72
e) x ^ 2 - 2
f) x ^ 2 - 5x 8) x ^ 2 - 9
a) 5x ^ 2 - 29x + 20
b) 2sqrt(2) * x ^ 2 - 9x + 5sqrt(2)
c) 3sqrt(3) * x ^ 2 - 19x + 10sqrt(3)
d) x ^ 2 - x - 72
e) x ^ 2 - 2
f) x ^ 2 - 5x 8) x ^ 2 - 9
Answers & Comments
Answer:
x^2-x-72 factorise this by mid term splitting
x2-9x+8x-72
(x-9)(x+8)
So zeroes are 9 and -8
-(sum of zeroes)=9-8=-1=(coefficient of x=-1)/(coefficient of X2= 1)=(-1/1)=-1
product of zeroes=9×(-8)=-72=(constant term=-72)/(coefficient of x^2=1)=-72/1=-72