Question

if p and b are zeros of 3x^2 -6x+4 .find a^2+b^2
​

Answer 1

Step-by-step explanation:

3x²-6x+4 is in the form ax²+bx+c

sum of roots of ax^2+bx+c = -b/a

product of roots = c/a

roots of 3x²-6x +4 are p,q and a=3,b=-6, c=4

pq = 4/3

p+q = -(-6)/3 = 6/3=2

(p+q)²= 2²

p²+q²+2pq =4

p²+q²+2×4/3=4

p²+q² + 8/3 = 4

p²+q² = 4-8/3= 12-8/3=4/3

p²+q²=4/3