Question

if r and s are the solutions of 2x^2+9x +3=0, what is the value of r^2 + s^2

Answer 1

standard equation:\[ax ^{2} +bx +c =0\]
and let r and s be two roots of this equation den
r+s=(-b)/a
r*s=c/a

Answer 2

here r+s= -9/2
r*s=3/2

\[(r+s)^{2} =r ^{2} +s ^{2} +2timesr timess\]

Answer 3

so
81/4 =r^2 +s^2 +2* (3/2)
81/4 = r^2 +s^2 +3
(81/4)-3 = r^2 +s^2

rest u can solve

Answer 4

thx