Question

x = \frac{10 \pm \sqrt{100 - (96)}}{12}

Explanation:

Step1: Simplify the radicand

Calculate the value inside the square root:
$100 - 96 = 4$

Step2: Solve the square root

Find the square root of the result:
$\sqrt{4} = 2$

Step3: Split into two solutions

Separate the $\pm$ into two cases:
Case 1: $X = \frac{10 + 2}{12}$
Case 2: $X = \frac{10 - 2}{12}$

Step4: Calculate each case

Simplify both fractions:
Case 1: $\frac{12}{12} = 1$
Case 2: $\frac{8}{12} = \frac{2}{3}$

Answer:

$X = 1$ or $X = \frac{2}{3}$