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Chapter 8: Q16. (page 492)

Solve each equation. Check your solution.

2xx鈭�5=0

Short Answer

Expert verified

The solution of2xx鈭�5=0 is x=0,5.

Step by step solution

01

Step 1. Write zero product property.

For any real numbers x and y, ifxy=0 thenx=0,y=0 or both x and y equal to zero.

02

Step 2. Apply zero product property.

Apply zero product property to the given equation, 2xx鈭�5=0.

2x=0orx鈭�5=0x=0x=5

Therefore, the roots are 0 and 5.

03

Step 3. Check the obtained solution.

To check whether the obtained solution is correct or not, substitute 0 for x and 5 for x in the given equation and simplify.

2鈰�00鈭�5=?00=0鉁�

2鈰�55鈭�5=?0100=?00=0鉁�

Therefore, the obtained solution is correct.

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