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QUESTION IMAGE

()² = 29; x + 2 = ; x =

Question

()² = 29; x + 2 = ; x =

Explanation:

Step1: Identify the squared term

The first blank is $x+2$, so:
$$(x+2)^2 = 29$$

Step2: Solve for $x+2$

Take square roots of both sides:
$$x+2 = \pm\sqrt{29}$$

Step3: Isolate $x$

Subtract 2 from both sides:
$$x = -2 \pm\sqrt{29}$$

Answer:

First blank: $x+2$
Second blank: $\pm\sqrt{29}$
Third blank: $-2+\sqrt{29}$ or $-2-\sqrt{29}$