Question

II. 2y2 - 15y + 27 = 0​

Answer 1

Factorization:

2y²-15y+27=0

By splitting the middle term,

Multiplying the constant term with x²coefficient,we get 54

Splitting the factors of 54 in accordance with -15

→2y²-18y+3y+27=0

→2y(y-9)+3(y+9)=0

→(2y+3)(y-9)=0

→y=9 or -3/2

The roots of the equation are 9 and -3/2