Radical 'a'

Algebra Level 1

Find the value of a a satisfying

8 a + 1 4 = 7. \large \sqrt[4]{8a+1}=7.


The answer is 300.

Anish Harsha by Anish Harsha , 20, India

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2 solutions

Rohit Udaiwal
Nov 27, 2015

8 a + 1 = 7 4 ⟹ a = 7 4 − 1 8 = ( 7 2 + 1 ) ( 7 + 1 ) ( 7 − 1 ) 8 ∴ a = 50 × 6 = 300 8a+1=7^4 \\ \implies a=\dfrac{7^4-1}{8} =\dfrac{(7^2+1)(7+1)(7-1)}{8} \\ \therefore a=50×6=300

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Noel Lo
Nov 28, 2015

I just calculated using brute force haha.

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