1.

Solve for x (2x-3/3-7x-2=x/3)​

Answer»

Step-by-step explanation:

Given cubic equation is 2x

3

+7x

2

+2x−3=0

From observation, we get −1 is one ROOT as

2(−1)

3

+7(−1)

2

+2(−1)−3=−2+7−2−3=0

Therefore, on dividing the given equation by (x+1) from synthetic division, we get

2x

3

+7x

2

+2x−3

⇒(x+1)(2x

2

+5x−3)=0

⇒(x+1)(x+3)(x−

2

1

)=0

⇒x=−1,−3,

2

1


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