Question

The product of two consecutive numbers is 420.
Can you tell the numbers? please explain full​

Answer 1

Answer:

the numbers are 20 and 21 or -20 and -21

Step-by-step explanation:

let numbers be x , x+ 1

$x(x + 1) = 420 \\ {x}^{2} + x - 420 = 0 \\ {x}^{2} + 21x - 20x - 420 = 0 \\ x(x + 21) - 20(x + 21) = 0 \\ (x - 20)(x + 21) = 0$

x= 20 and x= -21

if x= 20 ,x+1 =21 or

if x= -21 ,x+1=-20

therefore numbers are 20 and 21 or -20 and -21

Answer 2

See the attachment.

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