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7. \\(\\sqrt{3x + 4} = 7\\)

Question

  1. \\(\sqrt{3x + 4} = 7\\)

Explanation:

Step1: Square both sides to eliminate root

$$(\sqrt{3x+4})^2 = 7^2$$
$$3x + 4 = 49$$

Step2: Isolate the term with $x$

$$3x = 49 - 4$$
$$3x = 45$$

Step3: Solve for $x$

$$x = \frac{45}{3}$$

Answer:

$x = 15$