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Chapter 8: Q. 301 (page 824)

In the following exercises, solve.
u-3-3=u

Short Answer

Expert verified

The given equation has no solution.

Step by step solution

01

Step 1. Given information.

The given equation is:

u-3-3=u

02

Step 2. Simplify the equation.

The given equation can be written as:

u-3=u+3

Take square on both sides.

(u-3)2=(u+3)2u-3=u2+6u+90=u2+6u+9-u+30=u2+5u+6

03

Step 3. Solve the equation.

The above equation can be written as:

u2+3u+2u+6=0u(u+3)+2(u+3)=0(u+3)(u+2)=0u=-3,-2

For these values, the expression u-3is not defined. So, the given equation has no solution.

04

Step 4. Conclusion.

The given equation has no solution.

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