Answer :
To solve the expression [tex]\(169 - 9x^2\)[/tex] for a specific value of [tex]\(x\)[/tex], you follow these steps:
1. Identify the expression you need to evaluate: [tex]\(169 - 9x^2\)[/tex].
2. Substitute the given value of [tex]\(x\)[/tex] into the expression. In this case, we'll use [tex]\(x = 5\)[/tex].
3. Calculate the square of the substituted value:
[tex]\[
x^2 = 5^2 = 25
\][/tex]
4. Multiply the result by 9:
[tex]\[
9 \times 25 = 225
\][/tex]
5. Subtract this result from 169:
[tex]\[
169 - 225 = -56
\][/tex]
Therefore, when [tex]\(x = 5\)[/tex], the value of the expression [tex]\(169 - 9x^2\)[/tex] is [tex]\(-56\)[/tex].
1. Identify the expression you need to evaluate: [tex]\(169 - 9x^2\)[/tex].
2. Substitute the given value of [tex]\(x\)[/tex] into the expression. In this case, we'll use [tex]\(x = 5\)[/tex].
3. Calculate the square of the substituted value:
[tex]\[
x^2 = 5^2 = 25
\][/tex]
4. Multiply the result by 9:
[tex]\[
9 \times 25 = 225
\][/tex]
5. Subtract this result from 169:
[tex]\[
169 - 225 = -56
\][/tex]
Therefore, when [tex]\(x = 5\)[/tex], the value of the expression [tex]\(169 - 9x^2\)[/tex] is [tex]\(-56\)[/tex].
