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Chapter 10: Q25. (page 629)

Solve each equation. Check your solution.

15鈭�x=4

Short Answer

Expert verified

The solution of the given equation is x=鈭�1.

Check:

Substitute-1 for x in the given equation 15鈭�x=4.

15鈭�x=415鈭�鈭�1?炉炉415+1?炉炉416?炉炉44=4

Therefore,x=鈭�1is the solution of the given equation 15鈭�x=4.

Step by step solution

01

Step 1. Rewrite the given equation.

The given equation can be written as:

15鈭�x=415鈭�x2=42squaringbothsides15鈭�x=16

02

Step 2. Solve the given equation.

The solution of the given equation is:

15鈭�x=1615鈭�16=x鈭�1=x

Therefore, the solution of the given equation is x=鈭�1.

03

Step 3. Check the solution.

Substitute -1for x in the given equation 15鈭�x=4.

15鈭�x=415鈭�鈭�1?炉炉415+1?炉炉416?炉炉44=4

Therefore,x=鈭�1 is the solution of the given equation 15鈭�x=4.

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Most popular questions from this chapter

Solve each equation. Check your solution.

x+1+2=4

Graph each function. Compare to the parent graph. State the domain and range.

y=x鈭�3

Graph each function. Compare to the parent graph. State the domain and range.

y=12x

How many times does the graph ofy=x2鈭�4x+10cross the x-axis?

Find the coordinates of the midpoint of the segment with the given endpoints.

(鈭�4,鈭�8),鈥�(10,鈭�6)
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