IN DESCRIPTION

Question

1)   x^2 −2x−18=6

 

2)   2x^2+5x+18=−6x+3

 

3)     3−14x=5x^2

 

 

Answer 1

1) x^2 - 2x -18 =6

or x^2 -2x -24 =0

or x^2 -6x +4x -24 = 0 , using the splitting the middle term method

or x(x-6) + 4(x-6) =0

or (x+4) (x-6)=0

So, x= -4 or x =6

2) 2x^2 +5x +18 = -6x +3

or 2x^2 +5x + 18 +6x -3 =0

or 2x^2 +11x +15 =0

or 2x^2 + 6x + 5x +15 =0

or 2x( x+3) + 5(x+3)=0

or (2x +5) (x+3) = 0

x = -5/3 or x= -3

3) 3 -14x = 5x^2

or 5x^2 +14x -3=0

or 5x^2 +15x -x -3 =0

or 5x( x +5) -1(x+3) = 0

or (5x-1)(x+3) =0

so,  x =1/5 or x = -3