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Chapter 1: Q.12. (page 28)

In Problems 5–16, use a graphing utility to approximate the real solutions, if any, of each equation rounded to two decimal places. All solutions lie between - 10 and 10. $- x^{4} + 3 x^{3} + \frac{7}{3} x^{2} - \frac{15}{2} x + 2 = 0$

Short Answer

Expert verified

The values of X are approximately $x \approx 0.30612 \dots, x \approx 1.31422 \dots, x \approx - 1.64406 \dots, x \approx 3.02370 \dots$

Step by step solution

01

Step 1.Given equation and siplification

$- x^{4} + 3 x^{3} + \frac{7}{3} x^{2} - \frac{15}{2} x + 2 = 0 - 6 x^{4} + 18 x^{3} + 14 x^{2} - 45 x + 12 = 0$

02

Step 2. Graph and X-intercepts

X- intercepts are $x \approx 0.30612 \dots, x \approx 1.31422 \dots, x \approx - 1.64406 \dots, x \approx 3.02370 \dots$

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Most popular questions from this chapter

In Problem 17-36, solve each equation algebraically. Verify your solution using a graphing utility.

$\sqrt{x + 1} = 4$

Find the distance $d (P_{1}, P_{2})$ between the points $P_{1} and P_{2}$ .

$P_{1} = (4, - 3); P_{2} = (6, 4)$

The slope of a vertical line is ________ ; the slope of a horizontal line is _______.

In Problem 17-36, solve each equation algebraically. Verify your solution using a graphing utility.
$x^{3} + 2 x^{2} - 9 x - 18 = 0$

The accepted symbol used to denote the slope of a line is the letter m. Investigate the origin of this symbolism. Begin by consulting a French dictionary and looking up the French word Monter. Write a brief essay on your findings.

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