Question

156=51n-3n2 split mid term​

Answer 1

CORRECT QUESTION:

156 = 51n - 3n² Find the value of n.

ANSWER:

Given

• 156 = 51n - 3n²

Simplify the given equation

→ 3n² - 51n + 156 = 0

Now it is a quadratic equation

Taking common

➛ 3(n² - 17n + 52) = 0

➛ n² - 17n + 52

Splitting the middle term

➛ n² - 4n - 13n + 52 = 0

➛ n(n - 4) - 13(n - 4) = 0

➛ (n - 4)(n - 13) = 0

★ n - 4 = 0

★ n = 4

♦ n - 13 = 0

♦ n = 13

Hence, n = 4 , 13

Answer 2

Given :

• 156 = 51n - 3n²

To Find :

• Value of n

Solution :

➨ 156 = 51n - 3n²

➨ - 3n² + 51n = 156

Both side divided by 3

➨ - n² + 17n = 52

➨ n² - 17n + 52 = 0

By splitting middle term

➨ n² - 13n - 4n + 52 = 0

➨ n ( n - 13 ) - 4 ( n - 13 ) = 0

➨ ( n - 13 ) ( n - 4 ) = 0

➨ n - 13 = 0

➨ n = 13

➨ n - 4 = 0

➨ n = 4

n have two possible values 4 & 13