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Beverly Thomas Beverly Thomas Dec 11, 2020

473x2 + 5x - 2/3 = 0 find roots​

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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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Bojka Bojka
Dec 11, 2020
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