Question

$(2x + 1) {?}^{2} + 4 = 5(2x + 1)$
​

Answer 1

Answer:

is this for grade 6 plz tell

Answer 2

Question :

Solve for x :

(2x + 1)² + 4 = 5(2x + 1)

Answer :

x = 0 , 3/2

Solution :

We have ,

(2x + 1)² + 4 = 5(2x + 1) -------(1)

Putting y = 2x + 1 , eq-(1) will reduce to

y² + 4 = 5y

Now ,

=> y² - 5y + 4 = 0

=> y² - y - 4y + 4 = 0

=> y(y - 1) - 4(y - 1) = 0

=> (y - 1)(y - 4) = 0

=> y = 1 , 4

• If y = 1 , then

=> 2x + 1 = 1

=> 2x = 1 - 1

=> 2x = 0

=> x = 0/2

=> x = 0

• If y = 4 , then

=> 2x + 1 = 4

=> 2x = 4 - 1

=> 2x = 3

=> x = 3/2

Hence x = 0 , 3/2 .