Question

A challenge for you all..

Use the substitution y = 2x-1
To solve for x 3(2x -1)² + 4(2x-1)-4 =0

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Answer 1

Given

y = 2x-1

To find

x = ?

Solution ↓

⇒3y²+4y-4

⇒3y²-6y+2y-4

⇒3(y-2)+2(y-2)

⇒(3y+2) , (y-2)

⇒y = -2/3 , y = 2

Then,

⇒ 2x - 1 = -2/3 or 2x-1 = 2

⇒ x = 1/6 or x = 3/2