40

 PAGE: 755 SET: Exercises PROBLEM: 40

The equation is .

Solve the equation.

(Original equation)

(Cross product)

(Factors)

(Group of the factors)

(Take out common factor)

and                 (Separate solutions)

and                             (Simplify)

Check:

Case(i):

(Original equation)

(Substitute in the equation)

(Evaluate powers in the equation)

(Multiply)

(Simplify)

(Subtract: )

(Simplify)

Case(ii):

(Original equation)

(Substitute in the equation)

(Evaluate powers in the equation)

(Multiply)

(Simplify)

(Subtract: )

(Simplify)

Therefore, the solutions are and .

The solutions are and .

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