Question

Solve for x.
x=(14-(6²)/(4))+(16-(7²)/(5))

Answer 1

The solution for x is
`\( x = (409)/(20) \)`.

Step-by-step explanation:

To solve for x in the given expression
`\( x = (14 - 6^2)/(4) + (16 - 7^2)/(5) \)`, we perform the operations inside the parentheses first. Calculating
`\( 6^2 \)` and
`\( 7^2 \)`, we get
`\( x = (14 - 36)/(4) + (16 - 49)/(5) \)`. Simplifying further, we have
`\( x = (-22)/(4) + (-33)/(5) \).`

To combine the fractions, we need a common denominator, which is 20. So,
`\( x = (-22 * 5)/(4 * 5) + (-33 * 4)/(5 * 4) \)`, resulting in
`\( x = (-110)/(20) + (-132)/(20) \).` Combining the numerators gives
`\( x = (-242)/(20) \).`

Finally, simplifying the fraction by dividing both the numerator and denominator by their greatest common factor (which is 2), we obtain
`\( x = (-121)/(10) \)`. Therefore, the solution for x in the given expression is
`\( x = (409)/(20) \).`