Number of Zeros

Algebra Level 4

x = 123456789 × 76543211 + 2345678 9 2 x = 123456789 \times 76543211 + 23456789^2

For x x as given above, find the number of zeros in x 4 \sqrt[4]x .


The answer is 4.

Razing Thunder by Razing Thunder , 16, India

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1 solution

X X
Jul 9, 2020

x = ( 100000000 + 23456789 ) ( 100000000 − 23456789 ) + 2345678 9 2 = ( 1 0 8 ) 2 − 2345678 9 2 + 2345678 9 2 = 1 0 16 x=(100000000+23456789)(100000000-23456789)+23456789^2=(10^8)^2-23456789^2+23456789^2=10^{16}

Hence x 4 = 1 0 4 = 10000 \sqrt[4]{x}=10^4=10000

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Done by the same way.

A Former Brilliant Member - 11 months, 1 week ago

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