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Representation

let x be the number:

first number x

second number x+1

third number x+2

Illustration:

(1st)² + (2nd)(3rd) = 46

x² + (x+1)(x+2) = 46

Solution:

x² + (x+1)(x+2) = 46

x²+x²3x+2 = 46

2x²+3x = 2-46 = 0

2x²+3x-44=0

x-4 = 0

2x + 11 = 0

x = 4 2x = -11

1st = 4

2nd = 4+1 = 5

3rd = 4+2 = 6

Checking

4²+(5)(6) = 46

16+30 = 46

46 = 46

Answer

the numbers are 4, 5 and 6

HOPE THIS HELPS. GOODLUCK:)

answer is the third choice:

3x^5+4x^4+x^3+2x^2-10x-7=0

step-by-step explanation: