Question

Which represents the solution(s) of the equation x2 = 196?

Answer 1

Hi there!

${x}^{2} = 196$
To find the solutions to this equation, we must take the square root of both sides of the equation.

When we do this we mustn't forget to include the negative solution to this equation. This is because we can only find a positive number (as an outcome) when we square a negative number.
(e.g. (-14)^2 = -14 × -14 = 196)

$x = \sqrt{196} \: \: or \: \: x = - \sqrt{196}$

Find the roots.
$x = 14 \: \: or \: \: x = - 14$

~ Hope this helps you!

Answer 2

Hi there!

x² = 196

Take square root both sides :-

$\sqrt {x^{2}}$ = $\sqrt {196}$

While takin' square root remember to include the -ve in the solⁿ also.

x = ± $\sqrt {196}$

x = ± 14

Hence,
The required solⁿ are x = 14 and x = - 14

~ Hope it helps!