Question

if a and b are the roots of the equation 3x×x-5x+2=0 then find of a×a\b+b×b/a

Answer 1

Answer:If a and b are the roots of the equation 2x²+3x+4=0, then find the value of a²+b²?

Sum of roots = -B/A

Product of roots = C/A

A = 2. B = 3. C = 4.

As the roots are (a) and (b),

a + b = -3/2. ab = 4/2 = 2

(a + b)^2 = a^2 + b^2 + 2ab

-> a^2 + b^2 = (a + b)^2 - 2ab …(remember this)

-> a^2 + b^2 = (-3/2)^2 - 2(2)

-> a^2 + b^2 = 9/4 - 4

-> a^2 + b^2 = -7/4

Step-by-step explanation: