QuestionQUESTIION 4 $\text { (2 + } 2 \text { = } 4 \text { Marks }$
Solve each of the following quadratic equations for $x$ using "Quadratic Formula". Leave your answer in surd (exact) form. (a). $\frac{3}{(x-2)^{2}}+\frac{4}{x-2}=5$

Studdy Solution
Simplify the expression.
$x = \frac{10 + 2 \pm \sqrt{19}}{5}$
$x = \frac{12 \pm \sqrt{19}}{5}$
Thus, the solutions for $x$ are:
$x = \frac{12 + \sqrt{19}}{5} \quad \text{and} \quad x = \frac{12 - \sqrt{19}}{5}$

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