Question - Solving for x in a Mathematical Expression
Solution:
The expression given in the image appears to be:\[ x = \frac{(1.1 + \sqrt{11}) - 4(8)(20)}{2(1)} \]To solve for $$ x $$, first compute the operations in the numerator:1. Compute the square root of 11.2. Add that result to 1.1.3. Compute $$ 4 \times 8 \times 20 $$.4. Subtract the result of step 3 from the result of step 2.Then, for the denominator:1. Compute $$ 2 \times 1 $$, which is simply 2.Finally, divide the computed numerator by the computed denominator. Let's do the math step by step:1. $$ \sqrt{11} \approx 3.317 $$2. $$ 1.1 + 3.317 = 4.417 $$3. $$ 4 \times 8 \times 20 = 640 $$4. $$ 4.417 - 640 = -635.583 $$Now, for the denominator:1. $$ 2 \times 1 = 2 $$Divide the numerator by the denominator:\[ x = \frac{-635.583}{2} = -317.7915 \]So, $$ x \approx -317.7915 $$.
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