Question

Find two consecutive even integers whose product is equal to 10,200

Answer 1

one even number is 2x for some integer x

the next consecutive even integer is 2x+2

Answer 2

Their product is 10200, so...


(2x)*(2x+2) = 10200

Answer 3

meaning................

Answer 4

Distribute to get

(2x)*(2x+2) = 10200

2x*2x+2x*2 = 10200

4x^2 + 4x = 10200

Answer 5

x(x+2)=10200 <- X is one even number, x+2 is the next consecutive even number
x^2+x=10200 <- multiplied x and x+2 from previous step
x^2+x-10200=0 <- subtract 10200 from both sides from previous step
(x-102)(x-100)=0 <-factor them out
The last step is the answer! Find both Xs!

Answer 6

Now solve for x

Answer 7

got it thanks guys!