Finite Math Examples

${(7.2 - 8.74)}^{2} + {(7.7 - 8.74)}^{2} + {(8.2 - 8.74)}^{2} + {(8.7 - 8.74)}^{2} + {(9.2 - 8.74)}^{2} + {(9.7 - 8.74)}^{2} + {(10.2 - 8.74)}^{2}$

Step 1

Simplify each term.

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Step 1.1

Subtract $8.74$ from $7.2$ .

${(- 1.54)}^{2} + {(7.7 - 8.74)}^{2} + {(8.2 - 8.74)}^{2} + {(8.7 - 8.74)}^{2} + {(9.2 - 8.74)}^{2} + {(9.7 - 8.74)}^{2} + {(10.2 - 8.74)}^{2}$

Step 1.2

Raise $- 1.54$ to the power of $2$ .

$2.3716 + {(7.7 - 8.74)}^{2} + {(8.2 - 8.74)}^{2} + {(8.7 - 8.74)}^{2} + {(9.2 - 8.74)}^{2} + {(9.7 - 8.74)}^{2} + {(10.2 - 8.74)}^{2}$

Step 1.3

Subtract $8.74$ from $7.7$ .

$2.3716 + {(- 1.04)}^{2} + {(8.2 - 8.74)}^{2} + {(8.7 - 8.74)}^{2} + {(9.2 - 8.74)}^{2} + {(9.7 - 8.74)}^{2} + {(10.2 - 8.74)}^{2}$

Step 1.4

Raise $- 1.04$ to the power of $2$ .

$2.3716 + 1.0816 + {(8.2 - 8.74)}^{2} + {(8.7 - 8.74)}^{2} + {(9.2 - 8.74)}^{2} + {(9.7 - 8.74)}^{2} + {(10.2 - 8.74)}^{2}$

Step 1.5

Subtract $8.74$ from $8.2$ .

$2.3716 + 1.0816 + {(- 0.54)}^{2} + {(8.7 - 8.74)}^{2} + {(9.2 - 8.74)}^{2} + {(9.7 - 8.74)}^{2} + {(10.2 - 8.74)}^{2}$

Step 1.6

Raise $- 0.54$ to the power of $2$ .

$2.3716 + 1.0816 + 0.2916 + {(8.7 - 8.74)}^{2} + {(9.2 - 8.74)}^{2} + {(9.7 - 8.74)}^{2} + {(10.2 - 8.74)}^{2}$

Step 1.7

Subtract $8.74$ from $8.7$ .

$2.3716 + 1.0816 + 0.2916 + {(- 0.04)}^{2} + {(9.2 - 8.74)}^{2} + {(9.7 - 8.74)}^{2} + {(10.2 - 8.74)}^{2}$

Step 1.8

Raise $- 0.04$ to the power of $2$ .

$2.3716 + 1.0816 + 0.2916 + 0.0016 + {(9.2 - 8.74)}^{2} + {(9.7 - 8.74)}^{2} + {(10.2 - 8.74)}^{2}$

Step 1.9

Subtract $8.74$ from $9.2$ .

$2.3716 + 1.0816 + 0.2916 + 0.0016 + {0.46}^{2} + {(9.7 - 8.74)}^{2} + {(10.2 - 8.74)}^{2}$

Step 1.10

Raise $0.46$ to the power of $2$ .

$2.3716 + 1.0816 + 0.2916 + 0.0016 + 0.2116 + {(9.7 - 8.74)}^{2} + {(10.2 - 8.74)}^{2}$

Step 1.11

Subtract $8.74$ from $9.7$ .

$2.3716 + 1.0816 + 0.2916 + 0.0016 + 0.2116 + {0.96}^{2} + {(10.2 - 8.74)}^{2}$

Step 1.12

Raise $0.96$ to the power of $2$ .

$2.3716 + 1.0816 + 0.2916 + 0.0016 + 0.2116 + 0.9216 + {(10.2 - 8.74)}^{2}$

Step 1.13

Subtract $8.74$ from $10.2$ .

$2.3716 + 1.0816 + 0.2916 + 0.0016 + 0.2116 + 0.9216 + {1.46}^{2}$

Step 1.14

Raise $1.46$ to the power of $2$ .

$2.3716 + 1.0816 + 0.2916 + 0.0016 + 0.2116 + 0.9216 + 2.1316$

Step 2

Simplify by adding numbers.

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Step 2.1

Add $2.3716$ and $1.0816$ .

$3.4532 + 0.2916 + 0.0016 + 0.2116 + 0.9216 + 2.1316$

Step 2.2

Add $3.4532$ and $0.2916$ .

$3.7448 + 0.0016 + 0.2116 + 0.9216 + 2.1316$

Step 2.3

Add $3.7448$ and $0.0016$ .

$3.7464 + 0.2116 + 0.9216 + 2.1316$

Step 2.4

Add $3.7464$ and $0.2116$ .

$3.958 + 0.9216 + 2.1316$

Step 2.5

Add $3.958$ and $0.9216$ .

$4.8796 + 2.1316$

Step 2.6

Add $4.8796$ and $2.1316$ .

$7.0112$