Question

Make x the subject of the formula. y = √x^2+1

Answer 1

SOLUTION

TO DETERMINE

Make x the subject of the formula

$\sf{y = \sqrt{ {x}^{2} + 1} }$

EVALUATION

Here the given formula is

$\sf{y = \sqrt{ {x}^{2} + 1} }$

Squaring both sides we get

$\sf{ {y}^{2} = {x}^{2} + 1}$

$\sf{ \implies \: {y}^{2} -1 = {x}^{2} }$

$\sf{ \implies \: {x}^{2} = {y}^{2} - 1 }$

$\sf{ \implies \: x= \sqrt{ {y}^{2} - 1 } }$

FINAL ANSWER

$\boxed{ \: \: \sf{ x= \sqrt{ {y}^{2} - 1 } } \: \: }$

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