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CEMC Pascal

Algebra Difficulty 1.3 Junior Find the answer

The operation ∇\nabla is defined by a∇b=4a+ba \nabla b=4 a+b. What is the value of (5∇2)∇2(5 \nabla 2) \nabla 2?

A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.

Solution

Using the definition, (5∇2)∇2=(4×5+2)∇2=22∇2=4×22+2=90(5 \nabla 2) \nabla 2=(4 \times 5+2) \nabla 2=22 \nabla 2=4 \times 22+2=90.

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