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Chapter 2: Q45. (page 95)

Solve each equation. Check your solution.

c2鈭�4.3=11.5

Short Answer

Expert verified

The solution of the given equation is c=31.6.

Step by step solution

01

Step 1. Write the given equation.

The given equation is 鈥�c2鈭�4.3=11.5鈥�.

02

Step 2. Solve the given equation.

Solving,

c2鈭�4.3=11.5 (Given equation)

c2鈭�4.3+4.3=11.5+4.3 (Add 4.3 to both sides)

c2=15.8 (Simplify)

c2脳2=15.8脳2 (Multiply both sides by 2)

c=31.6 (Simplify)

So, c=31.6is the solution of the given equation.

03

Step 3. Check the obtained solution.

Put c=31.6in the given equation c2鈭�4.3=11.5to get,

31.62鈭�4.3=11.515.8鈭�4.3=11.511.5=11.5

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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