Question

If x=2 and x= 3 are roots of equation 3x square -2ax -2b = 0

Answer 1

Answer:

Basic point: If a,b are the roots of an eqn, then (x-a)(x-b)=0 be that quadratic equation.

 If x = 2/3, x = -3 are roots, then the eqn will be

    (x-2/3)(x-(-3))=0

 ⇒ (x-2/3)(x+3) = 0

 ⇒ x²-(2/3)x+3x-2 = 0

 ⇒ 3x²-2x+9x-6=0

 ⇒ 3x²+7x-6=0 is the required eqn.

Compare the eqn with ax²+7x+b=0

Therefore, a=3, b= -6

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Answer 2

Answer:

your answer is in attachment