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Chapter 7: Q65. (page 352)

Solve the equation x2-8x-2=0 by completing the squares.

Short Answer

Expert verified

The solution for the given equation is x=4卤32.

Step by step solution

01

Step 1. Write down the given information.

The given equation is x2-8x-2=0.

02

Step 2. Apply square completion method.

The given equation x2-8x-2=0 with the help of completing the square method is solved as:

x2鈭�8x鈭�2=0....Givenx2鈭�8x=2....Rewritex2鈭�8x+16=2+16....Add鈭�822bothsidesx鈭�42=18x鈭�4=卤32x=4卤32

03

Step 3. Conclusion.

The solution for the given equation is x=4卤32.

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Most popular questions from this chapter

The power generated by a windmill is a function of the speed wind. The approximate power is given by the function Ps=s31000, where s represents the speed of the wind in kilometer per hour. Find the units of power Ps generated by the windmill when the wind speed is 18 kilometers per hour.

State the degree and leading coefficient of polynomial 6x4+3x2+4x-8 in one variable. If it is not a polynomial in one variable, explain why.

Complete each of the following.

  1. Graph each function by making a table of values.
  2. Determine consecutive values of x between which each real zero is located.
  3. Estimate the x-coordinate at which the relative maxima and relative minima occur.

fx=-x4+x3+8x2-3

EMPLOYMENT For Exercises 27鈥�30, use the graph that models the unemployment rates from 1975鈥�2000.

If this graph was modelled by a polynomial equation, what is the least degree the equation could have?

For each graph,

a. Describe the end behaviour.

b. Determine whether it represents an odd-degree or an even-degree polynomial function, and

c. state the number of real zeros.
See all solutions

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