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Chapter 2: Q19. (page 100)

Solve each equation. Check your solution.

12鈭�45x+15=4

Short Answer

Expert verified

The solution of the given equation is x=鈭�5.

Step by step solution

01

Step 1. Write the given equation.

The given equation is 鈥�12鈭�45x+15=4鈥�.

02

Step 2. Solve the given equation.

Solving,

12鈭�45x+15=4 (Given equation)

12鈭�45x+15鈭�12=4鈭�12 (Subtract 12 from both sides)

鈭�45x+15=鈭�8 (Simplify)

鈭�45x+15脳鈭�54=鈭�8脳鈭�54 (Multiply both sides by 鈭�54)

x+15=10 (Simplify)

x+15鈭�15=10鈭�15 (Subtract 15 from both sides)

x=鈭�5 (Simplify)

So, x=鈭�5is the solution of the given equation.

03

Step 3. Check the obtained solution.

Put x=鈭�5in the given equation 12鈭�45x+15=4to get,

12鈭�45鈭�5+15=412鈭�4510=412鈭�42=412鈭�8=44=4

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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