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question solve the following quadratic equation for all values of $x$ i…

Question

question
solve the following quadratic equation for all values of $x$ in simplest form.
$19 + 2x^2 = 21$
answer attempt 1 out of 2
additional solution no solution
$x = $
submit answer

Explanation:

Step1: Isolate the $x^2$ term

Subtract 19 from both sides:
$2x^2 = 21 - 19$
$2x^2 = 2$

Step2: Solve for $x^2$

Divide both sides by 2:
$x^2 = \frac{2}{2}$
$x^2 = 1$

Step3: Solve for $x$

Take square root of both sides:
$x = \pm\sqrt{1}$
$x = \pm1$

Answer:

$x = 1$ and $x = -1$