Question

question 3
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solve (w^{2}+4 = 254), where (w) is a positive real number.
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Explanation:

Step1: Isolate the square - term

Subtract 4 from both sides of the equation $w^{2}+4 = 254$.
$w^{2}=254 - 4$
$w^{2}=250$

Step2: Apply the square - root property

Since $w$ is a positive real number, take the positive square - root of both sides.
$w=\sqrt{250}$
Simplify $\sqrt{250}=\sqrt{25\times10}=5\sqrt{10}$

Answer:

$5\sqrt{10}$