Solved on Oct 21, 2023

Find approximate solution to $x=\sqrt{75}$ by completing the table with exact values for $A$ , $B$ , and $C$ .

STEP 1

Assumptions1. The table is used to find an approximate solution to $x=\sqrt{75}$ . . The values of $x$ are in increasing order.
3. The values of $x^{}$ are the squares of the corresponding $x$ values.
4. The comments are based on whether $x^{}$ is too low, too high, or approximately equal to75.

STEP 2

First, we need to find the value of $A$ . This is the square of $x=8$ .
$A =8^{2}$

STEP 3

Calculate the value of $A$ .
$A =8^{2} =64$

STEP 4

Next, we need to find the value of $B$ . This is the square of $x=9$ .
$B =9^{2}$

STEP 5

Calculate the value of $B$ .
$B =9^{2} =81$

STEP 6

Now, we need to find the value of $C$ . This is the square of $x=8.5$ .
$C =8.5^{2}$

STEP 7

Calculate the value of $C$ .
$C =.5^{2} =72.25$

STEP 8

Now that we have the values of $A$ , $B$ , and $C$ , we can complete the table.
\begin{tabular}{|c|c|c|} \hline $x$ & $x^{2}$ & Comment \\ \hline7 &49 & Too low \\ 8 &64 & Too low \\ &81 & Too high \\ \cline {3 -3 }8.5 &72.25 & Too low \\ \hline\end{tabular}

STEP 9

To find the approximate solution to $x=\sqrt{75}$ to the nearest integer, we can look at the table. The value of $x$ that gives $x^{2}$ closest to75 is9, even though it's a bit too high.
So, the approximate solution to $x=\sqrt{75}$ to the nearest integer is $x=9$ .

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Find approximate solution to $x=\sqrt{75}$ by completing the table with exact values for $A$ , $B$ , and $C$ .

STEP 1

Assumptions1. The table is used to find an approximate solution to $x=\sqrt{75}$ . . The values of $x$ are in increasing order.
3. The values of $x^{}$ are the squares of the corresponding $x$ values.
4. The comments are based on whether $x^{}$ is too low, too high, or approximately equal to75.

STEP 2

First, we need to find the value of $A$ . This is the square of $x=8$ .
$A =8^{2}$

STEP 3

Calculate the value of $A$ .
$A =8^{2} =64$

STEP 4

Next, we need to find the value of $B$ . This is the square of $x=9$ .
$B =9^{2}$

STEP 5

Calculate the value of $B$ .
$B =9^{2} =81$

STEP 6

Now, we need to find the value of $C$ . This is the square of $x=8.5$ .
$C =8.5^{2}$

STEP 7

Calculate the value of $C$ .
$C =.5^{2} =72.25$

STEP 8

Now that we have the values of $A$ , $B$ , and $C$ , we can complete the table.
\begin{tabular}{|c|c|c|} \hline $x$ & $x^{2}$ & Comment \\ \hline7 &49 & Too low \\ 8 &64 & Too low \\ &81 & Too high \\ \cline {3 -3 }8.5 &72.25 & Too low \\ \hline\end{tabular}

STEP 9

To find the approximate solution to $x=\sqrt{75}$ to the nearest integer, we can look at the table. The value of $x$ that gives $x^{2}$ closest to75 is9, even though it's a bit too high.
So, the approximate solution to $x=\sqrt{75}$ to the nearest integer is $x=9$ .

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Find approximate solution to x=75x=\sqrt{75}x=75​ by completing the table with exact values for AAA, BBB, and CCC.

STEP 1

STEP 2

First, we need to find the value of AAA. This is the square of x=8x=8x=8.A=82A =8^{2}A=82

STEP 3

Calculate the value of AAA.A=82=64A =8^{2} =64A=82=64

STEP 4

Next, we need to find the value of BBB. This is the square of x=9x=9x=9.B=92B =9^{2}B=92

STEP 5

Calculate the value of BBB.B=92=81B =9^{2} =81B=92=81

STEP 6

Now, we need to find the value of CCC. This is the square of x=8.5x=8.5x=8.5.C=8.52C =8.5^{2}C=8.52

STEP 7

Calculate the value of CCC.C=.52=72.25C =.5^{2} =72.25C=.52=72.25

STEP 8

Now that we have the values of AAA, BBB, and CCC, we can complete the table.\begin{tabular}{|c|c|c|} \hlinexxx & x2x^{2}x2 & Comment \\ \hline7 &49 & Too low \\ 8 &64 & Too low \\ &81 & Too high \\ \cline {3 -3 }8.5 &72.25 & Too low \\ \hline\end{tabular}

STEP 9

To find the approximate solution to x=75x=\sqrt{75}x=75​ to the nearest integer, we can look at the table. The value of xxx that gives x2x^{2}x2 closest to75 is9, even though it's a bit too high.So, the approximate solution to x=75x=\sqrt{75}x=75​ to the nearest integer is x=9x=9x=9.

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Find approximate solution to $x=\sqrt{75}$ by completing the table with exact values for $A$ , $B$ , and $C$ .

First, we need to find the value of $A$ . This is the square of $x=8$ .
$A =8^{2}$

Calculate the value of $A$ .
$A =8^{2} =64$

Next, we need to find the value of $B$ . This is the square of $x=9$ .
$B =9^{2}$

Calculate the value of $B$ .
$B =9^{2} =81$

Now, we need to find the value of $C$ . This is the square of $x=8.5$ .
$C =8.5^{2}$

Calculate the value of $C$ .
$C =.5^{2} =72.25$

Now that we have the values of $A$ , $B$ , and $C$ , we can complete the table.
\begin{tabular}{|c|c|c|} \hline $x$ & $x^{2}$ & Comment \\ \hline7 &49 & Too low \\ 8 &64 & Too low \\ &81 & Too high \\ \cline {3 -3 }8.5 &72.25 & Too low \\ \hline\end{tabular}

To find the approximate solution to $x=\sqrt{75}$ to the nearest integer, we can look at the table. The value of $x$ that gives $x^{2}$ closest to75 is9, even though it's a bit too high.
So, the approximate solution to $x=\sqrt{75}$ to the nearest integer is $x=9$ .