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Chapter 3: Q. 2 (page 155)

Find the real solutions of the equation 2x2+7x-4=0.

Short Answer

Expert verified

The real solutions of the given equation are-4and 0.5.

Step by step solution

01

Step 1. Given information.

The given quadratic equation is:

2x2+7x-4=0

02

Step 2. Solve the equation.

Spite the middle term and rewrite the given equation.

2x2+8x-x-4=02x(x+4)-(x+4)=0(x+4)(2x-1)=0

Use zero product property.

x+4=0and2x-1=0x=-4andx=12x=-4andx=0.5

03

Step 3. Conclusion.

The real solutions of the given equation are-4 and 0.5.

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Most popular questions from this chapter

Graph the function fby starting with the graph of y=x2and using transformations (shifting, compressing, stretching, and/or reflection). Verify your results using a graphing utility.

Hint: If necessary, write fin the form f(x)=a(x-h)2+k.

f(x)=3x2+6x

If g(x)=5x-4,then

(a) Determine the slope and y-intercept of each function.

(b) Use the slope and y-intercept to graph the linear function.

(c) Determine the average rate of change of each function.

(d) Determine whether the linear function is increasing, decreasing, or constant

Match each graph to one the following functions.

f(x)=x2-1

True or False The graph of the function f(x)=x2is increasing on the interval(0,鈭�).

True or False If the average rate of change of a linear function is 23, then if yincreases by 3,xwill increase by2.
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