Which of the following is an algebraic expression for “ 1 is added to twice a number”
a) x + 1 b) x – 1 c) 2x + 1 d) 3x + 1
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Answer:
Let the number be x
Given:
x is added to twice its x2 which gives 21.
2x2+x=21
⟹2x2+x−21=0
⟹2x2+7x−6x−21=0
⟹x(2x+7)−3(2x+7)=0
⟹(x−3)(2x+7)=0
⟹x=3,−27
The number is 3,−27
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