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COLLEGE ALGEBRA ESSEN.-MYLABMATH+ETEXT
6th Edition
ISBN: 9780136804857
Author: Blitzer
Publisher: PEARSON
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Question
Chapter 1.6, Problem 135E
To determine
To check: Whether the given statement is make sense or not.
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Practice PLUS
Exercises 65–68 describe quadratic equations. Match each
description with the graph of the corresponding quadratic
function. Each graph is shown in a [-10, 10, 1] by [–10, 10, 1]
viewing rectangle.
65. A quadratic equation whose solution set contains imaginary
numbers
66. A quadratic equation whose discriminant is 0
67. A quadratic equation whose solution set is {3 ± V2}
68. A quadratic equation whose solution set contains integers
а.
b.
C.
d.
69. When the sum of 6 and twice a positive number is
subtracted from the square of the number, 0 results. Find
the number.
70. When the sum of 1 and twice a negative number is
For Exercises 107–108, solve the equation in two ways.
a. Solve as a radical equation by first isolating the radical.
b. Solve by writing the equation in quadratic form and using an appropriate substitution.
107. y + 4Vy = 21
108. w – 3Vw = 10
Reorder the equation y=x^2-16x+63 into the form y=(x-h)^2+k
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- Exercises 105-120: Complete the following. (a) Write the equation as ax² + bx + e = 0 with a > 0. (b) Calculate the discriminant b² – 4ac and determine the number of real solutions. (c) Solve the equation. 105. 3x² = 12 106. 8x - 2 = 14 107. x² – 2x = -1 108. 6x² = 4x 109. 4x = x? 110. 16x + 9 = 24x 111. x² + 1 = x 112. 2x² + x = 2 113. 2x² + 3x = 12 – 2x 114. 3x² + 3 = 5x 115. x(x – 4) = -4 116. + 3x = x – 4 117. x(x + 2) = -13 118. 4x = 6 + x? 119. 3x = 1- x 120. x(5x – 3) = 1arrow_forwardSolve the following quadratic equation for all values of x in simplest form. 2(x + 10)2 – 37 = 13 - Answer: Submit Answer 士arrow_forwardIn Exercises 11–12, find the solution set for each equation. 11. |5x + 3| = 7 12. |6x + 1| = [4x + 15||arrow_forward
- Rewrite the following quadratic function y = x2 + 2x – 77/22 in vertex form by completing the square. State the vertex, the axis of symmetry, the minimum or maximum value, the x- and y-intercepts, the domain, and the range. Sketch the graph. Answer Step-by-steps. Rewrite the following quadratic function y = 2x2 – 18x + 28 in vertex form by completing the square. State the vertex, the axis of symmetry, the minimum or maximum value, the x- and y-intercepts, the domain, and the range. Sketch the graph. Answer Step-by-steps.arrow_forwardWrite a quadratic equation that goes through the points (0,5), (2,1), and (1,2). y = ax2 + bx + carrow_forwardA quadratic equation has x = -3 – 5i as a solution and passes through the point (-1, 4). Write the quadratic equation in standard form. You must show EVERY step for full credit.arrow_forward
- Vrite an equation (any form) for the quadratic 5+ 3 -5 -4 3 -2 2 3 4 -2 -3 -4 -5+ Submit Question 2.arrow_forward2. Write a quadratic equation that goes through the point (2, 2) and has the vertex of (-1,-3). Larrow_forwardExercises 59–66: Use the intersection-of-graphs method to solve the equation. Then solve symbolically. 63. -х + 4 %3D 3хarrow_forward
- 4. Write a quadratic equation whose roots are 3 and -5.arrow_forwardSection 1: Write each equation in standard form. Identify A, B and C. 8x + 3y + 6 = 0 - 6x3y - 12 = 21 1. A ..m N 2.arrow_forwardwrite the equation for a quadratic function, which zeros are -3, -1 and 2 (order 2) and passes through the point (1,4)arrow_forward
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