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Chapter 2: Q10. (page 86)

Evaluate the following equation and check the solution is correct or not:

t7=鈭�5

Short Answer

Expert verified

The solution of the equation t7=鈭�5is t=鈭�35.

Step by step solution

01

Step 1. Given information.

The given equation is t7=鈭�5.

02

Step 2. Write the concept.

In an equation, the variable represents the number that satisfies the equation.

To solve an equation means to find the value of the variable that makes the equation true.

If an equation is true and the same number is added to each side of the equation, then the resulting equivalent equation is also true.

03

Step 3. Solve the equation.

The equation t7=鈭�5can be solved below:

t7=鈭�5

Multiply both sides by 7,

role="math" localid="1642410676039" t7脳7=鈭�5脳7t=鈭�5脳7

So,

t=鈭�35

04

Step 4. Check the solution.

Take the equation t7=鈭�5.

Substitute t=鈭�35on the right-hand side of the equation.

role="math" localid="1642410770598" t7=鈭�5鈭�357=鈭�5鈭�5=鈭�5

This shows that, t=鈭�35is the solution of the given equation.

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Most popular questions from this chapter

Solve each equation. Check your solution.

12=鈭�7f鈭�9

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鈭�1=7+3c

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25n=25

Translate the following sentence into a formula:

鈥淥ne-third the product of the length of the side squared and the height is the volume of a pyramid with a square base鈥�.

Solve each equation. Check your solution.

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