Find the missing coefficient. y2 − [-5y − y(-7y − 9)] − [-y (15y + 4)] = 0

Missing Coefficient is -8

Step-by-step explanation:

We are given, _y² - [ -5y - y( -7y -9) ] - [ -y(15y + 4) ] = 0

We have to find missing value.

let missing value be a

ay² - [ -5y - y( -7y - 9) ] - [ -y(15y + 4) ] = 0

ay² - [ -5y + 7y² + 9y ] - [ -15y² - 4y ] = 0

ay² - [ 7y² + 4y ] + 15y² + 4y = 0

ay² - 7y² - 4y + 15y² + 4y = 0

ay² - 7y² + 15y² + 4y - 4y = 0

( a - 7 + 15 )y² = 0

RHS can be written as

( a - 7 + 15 )y² = 0.y²

Now comparing coefficient of both sides we get,

a - 7 + 15 = 0

a + 8 = 0

a = -8

Therefore, Missing Coefficient is -8