Question

solving quadratics with square roots (level 1)
score: 1/5 penalty: 1 off
question
solve the following quadratic equation for all values of x in simplest form.
20 - x² = 10
answer attempt 1 out of 2
additional solution no solution
x =
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Explanation:

Step1: Isolate $x^2$ term

Subtract 20 from both sides:
$20 - x^2 - 20 = 10 - 20$
$-x^2 = -10$

Step2: Solve for $x^2$

Multiply both sides by -1:
$x^2 = 10$

Step3: Take square roots

Take square root of both sides:
$x = \pm \sqrt{10}$

Answer:

$x = \pm \sqrt{10}$