Consider the given #160;equation #10; #10; √(1+x^29)=0 #10; #10; #10; √(9+x^29)=0 #10; #10; #10; √(9+x^2)=0 #10; #10; ...

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Finding Square Root of a Number

Evaluate √1 ...

Question

Evaluate $\sqrt{1 + \frac{x^{2}}{9}} = 0$

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Solution

Consider the given equation

$\sqrt{1 + \frac{x^{2}}{9}} = 0$

$\sqrt{\frac{9 + x^{2}}{9}} = 0$

$\sqrt{9 + x^{2}} = 0$

$9 + x^{2} = 0$

$x^{2} = - 9$

$x = \sqrt{- 9}$

$x = 3 \sqrt{- 1}$

$x = 3 i$

Hence, this is the answer.

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