Let the number is x So, X+20=69 X=69-20 X=49 THE NUMBER IS 49 SO, 49 plus 20 equal to 69 .•.
x=7
10x + 7 = 4x + 49 6x + 7 = 49 6x = 42 x = 6
x2+14x+49 = (x+7)(x+7) when factored
2x2 + 21x + 49= 2x2 + 14x + 7x + 49= 2x(x + 7) + 7(x + 7)= (x + 7)(2x + 7)
Let the number is x So, X+20=69 X=69-20 X=49 THE NUMBER IS 49 SO, 49 plus 20 equal to 69 .•.
x=7
2x2 + 21x + 49 = (2x + 7)(x + 7)
(x2 + 14x + 49) = (x + 7)2
10x + 7 = 4x + 49 6x + 7 = 49 6x = 42 x = 6
X=(49+7)+1x=56+1x=57
x2+14x+49 = (x+7)(x+7) when factored
2x2 + 21x + 49= 2x2 + 14x + 7x + 49= 2x(x + 7) + 7(x + 7)= (x + 7)(2x + 7)
2x2 + 21x + 49 = 2x2 +14x +7x + 49 = 2x(x + 7) + 7(x + 7) = (2x + 7)(x + 7)
x2 - 14x + 49(x - 7) (x - 7)
x = 4
2x2+21x+49 = (2x+7)(x+7)