Question 5. Solve:
(x+1)(2x + 3)(2x+5)(x+3)=945
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Answer: x=2
Step-by-step explanation:
factors of 945 are 3 , 3 , 3 , 5 , 7, 1
Here x = 2
x + 1 = 2 + 1 = 3
2x + 3 = 2×2 + 3 = 7
2x + 5 = 2×2 + 5 = 9
x + 3 = 2 + 3 = 5
Clearly 3 , 7 , 9 and 5 are the factors of 945...if you multiply 3 , 7 , 9 , 5 together you get 945..
( x + 1 ) ( 2x + 1 ) ( 2x + 5 ) ( x + 3 ) = 945
=>( 2 + 1 ) (2×2+1) (2×2+5) (2 + 3) = 945
Thus x = 2
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