Question

Find three consecutive integers such that the square of the first increased by the product of the other two gives 154. ​

Answer 1

Step-by-step explanation:

let the integers be x , x+1 ,x+2

ATQ: x² + (x+1)× (x+2) = 54

x² + x² + 2x +x +2 =54

2x² +3x +2-54 =0

2x²+ 3x -52 =0

2x² +