The product of two consecutive even numbers is 360. Find the numbers.
1 answer:
Answer:
Step-by-step explanation:
Two consecutive numbers be 2x , (2x + 2)
(2x)(2x + 2) = 360
2x*2x + 2x *2 = 360
4x² + 4x = 360 {divide the equation by 4}
x² + x = 90
x² + x - 90 = 0
x² + 10x - 9x - 9*10 = 0
x(x + 10) - 9(x + 10) = 0
(x + 10)(x -9) = 0
x + 10 = 0
x = -10
2x = 2*(-10) = -20
2x + 2 = -20 + 2 = 18
(-20 , -18)
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