Question

the product of a number and 2 more than is 168, what are the numbers? (4metres)​

Answer 1

Answer:

12 and 14 or -12 and -14

Step-by-step explanation:

Let the number be x.

According to the question,

(x)*(x+2) = 168

=> x^2 + 2x = 168

=> x^2 + 2x - 168 = 0

Splitting the middle term,

x^2 - 14x + 12x - 168 = 0

=> x(x-14) + 12(x-14) = 0

=> (x+12)(x-14) = 0

=> x= -12 and x=14

So,

the numbers are

12 and 14 or

-12 and -14.

Hope it helps!

Answer 2

Answer:

let the unknown number be x

then, x (x+2) = 168

x² + 2x = 168

x² + 2x +1² = 168 + 1²

(x + 1)² = 169

x +1 = √169

x +1 = 13

x = +-12

•°• x + 2 = 14

•°• 12 and 14 are the numbers whose product is 168.

hope it helps ☺️