Squaring Both Side is the Best -_-

Algebra Level 1

Find x x .

14 + 27 − x − 1 = 4 \sqrt{14 + \sqrt {27 - \sqrt{x-1}}} = 4

Try this one


The answer is 530.

Paul Ryan Longhas by Paul Ryan Longhas , 24, Philippines

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1 solution

Vaibhav Prasad
Mar 24, 2015

14 + 27 − x − 1 = 4 \sqrt{14 + \sqrt {27 - \sqrt{x-1}}} = 4

Squaring both the sides

14 + 27 − x − 1 = 16 27 − x − 1 = 2 14+\sqrt { 27-\sqrt { x-1 } \quad } =16\\ \sqrt { 27-\sqrt { x-1 } } =2

Again squaring both the sides)

27 − x − 1 = 4 23 = x − 1 { 27-\sqrt { x-1 } }=4\\ 23=\sqrt { x-1 }

AGAIN squaring both the sides

529 = x − 1 530 = x 529={ x-1 }\\ \boxed{530}=x

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