1. Find the roots of x² + 8x + 11 = 0. Solution: x +8x = x + 8x + (x +? = 5 and X1 = *X2 =

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter13: Conic Sections
Section13.1: Circles
Problem 48PS
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We have Ax2 + Ay2 + Dx + Ey + F = 0, A # 0 as the general form of the equation of the circl
y term and F to represent the constant.
Arrange the terms of the given product
y- term D for the coefficient of x term, E for
Use A to represent the coefficients of and
The General
We expand the standard form (x -h)² + (y- kY = r2, to get
x2-2hx +h2 + y2 - 2ky + k? = r2
x2+ y2 - 2hx- 2ky + (h2+ k2-r?) = 0
OUSups bsnste
ACTIVITY 2: FIND MY PARTS
This activity will enable you to review completing the square.
Directions: Choose inside the box the missing part to each solution.
4
1. Find the roots of x +8x + 11 0.
Solution:
-4- V5
16
x² +8x =
x2 + 8x +
-11+16
%3D
-5
)² = 5
(x +
and
-4- V27
X1 =
X2 =
-11
-4 + V5
-4 + V27
9.
Transcribed Image Text:We have Ax2 + Ay2 + Dx + Ey + F = 0, A # 0 as the general form of the equation of the circl y term and F to represent the constant. Arrange the terms of the given product y- term D for the coefficient of x term, E for Use A to represent the coefficients of and The General We expand the standard form (x -h)² + (y- kY = r2, to get x2-2hx +h2 + y2 - 2ky + k? = r2 x2+ y2 - 2hx- 2ky + (h2+ k2-r?) = 0 OUSups bsnste ACTIVITY 2: FIND MY PARTS This activity will enable you to review completing the square. Directions: Choose inside the box the missing part to each solution. 4 1. Find the roots of x +8x + 11 0. Solution: -4- V5 16 x² +8x = x2 + 8x + -11+16 %3D -5 )² = 5 (x + and -4- V27 X1 = X2 = -11 -4 + V5 -4 + V27 9.
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