Fill in the blanks : See the attachment. -(-4) ± V(-4)² – 4(1)(2)-simplifies to2(1)

Name: Fill in the blanks : See the attachment. -(-4) ± V(-4)² – 4(1)(2)-simp
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Description: Fill in the blanks : See the attachment. -(-4) ± V(-4)² – 4(1)(2)-simplifies to2(1)

Given: x=--4±-42-41221 Simplifying given equation: x=4±16-82=4±82=4±4×22=4±222=22±22=2±2

Answered: -(-4) ± V(-4)² – 4(1)(2) -simplifies to…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Fill in the blanks : See the attachment.

-(-4) ± V(-4)² – 4(1)(2)
-simplifies to
2(1)

Expert Solution

Step 1

Given: $x = \frac{- (- 4) \pm \sqrt{{(- 4)}^{2} - 4 (1) (2)}}{2 (1)}$

Simplifying given equation:

$\begin{array}{rcl} x & = & \frac{4 \pm \sqrt{16 - 8}}{2} \\ = & \frac{4 \pm \sqrt{8}}{2} \\ = & \frac{4 \pm \sqrt{4 \times 2}}{2} \\ = & \frac{4 \pm 2 \sqrt{2}}{2} \\ = & \frac{2 (2 \pm \sqrt{2})}{2} \\ = & 2 \pm \sqrt{2} \end{array}$

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