Solve 2x^(2)=162. The solutions are x= ◻ and x= ◻.

Divide by 2: Given the equation 2x^(2) = 1, we want to find the values of x that satisfy this equation. First, we divide both sides of the equation by 2 to isolate x^(2). x^(2) = 1/2Take square root: Next, we take the square root of both sides of the equation to solve for x. √(x^(2)) = ±√(1/2) This gives us x = ±√(1/2).Simplify square root: To simplify √(1/2), we can rewrite it as √(1)/√(2), which simplifies to 1/√(2). Since it is often preferred to rationalize the denominator, we multiply the numerator and denominator by √(2) to get √(2)/2. So, x = ±√(2)/2.

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Solve 2x^(2)=162.
The solutions are x= ◻ and x= ◻.

Solve $2 x^{2}=162$ . $\newline$ The solutions are $x=$ $\square$ and $x=$ $\square$ .

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Algebra 2

Solve complex trigonomentric equations

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Q. Solve

2 x^{2}=162

\newline

The solutions are

x=

\square

and

x=

\square

Divide by $2$ : Given the equation $2x^{2} = 1$ , we want to find the values of $x$ that satisfy this equation. $\newline$ First, we divide both sides of the equation by $2$ to isolate $x^{2}$ . $\newline$ $x^{2} = \frac{1}{2}$
Take square root: Next, we take the square root of both sides of the equation to solve for $x$ . $\sqrt{x^{2}} = \pm\sqrt{\frac{1}{2}}$ This gives us $x = \pm\sqrt{\frac{1}{2}}$ .
Simplify square root: To simplify $\sqrt{\frac{1}{2}}$ , we can rewrite it as $\sqrt{1}/\sqrt{2}$ , which simplifies to $\frac{1}{\sqrt{2}}$ . Since it is often preferred to rationalize the denominator, we multiply the numerator and denominator by $\sqrt{2}$ to get $\frac{\sqrt{2}}{2}$ . So, $x = \pm\frac{\sqrt{2}}{2}$ .