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Chapter 2: Q32. (page 94)

Solve each equation. Check your solution.

2b3+6=24

Short Answer

Expert verified

The solution of the given equation is b=27.

Step by step solution

01

Step 1. Write the given equation.

The given equation is 鈥�2b3+6=24鈥�.

02

Step 2. Solve the given equation.

Solving,

2b3+6=24 (Given equation)

2b3+6鈭�6=24鈭�6 (Subtract 6 from both sides)

2b3=18 (Simplify)

2b3脳32=18脳32 (Multiply both sides by 32)

b=27 (Simplify)

So, b=27is the solution of the given equation.

03

Step 3. Check the obtained solution.

Put b=27in the given equation 2b3+6=24to get,

2273+6=2429+6=2418+6=2424=24

Since the value obtained on the left-hand side and right-hand side are equal, the obtained value is indeed a solution of the given equation.

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