Match the words or phrases with their definitions. a. a formula for determining the roots of an equation of the form ax + bx +c = 0, a + 0 1. root of an equation 2. quadratic equation b. a process for expressing y = ax + bx+c in the form y = a(x-h)' +k %3D 3. completing the square c. an equation in the form ax + bx+c = 0, where a,b, and c are real numbers and a + 0 4. quadratic formula d. the value of the variable that makes an equation true Without graphing or using any algebraic methods, determine whether or not there is a solution to the following: 3x + y = 2

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Match the words or phrases with their definitions.
a. a formula for determining the
roots of an equation of the form
ax? + bx +c = 0, a + 0
1.
root of an equation
2.
quadratic equation
b. a process for expressing
y = ax" + bx +c in the form
y = a(x-h)? + k
-
3.
completing the square
C. an equation in the form
ax + bx +c = 0, where a,b, and c are
real numbers and a + 0
4.
quadratic formula
d. the value of the variable that
makes an equation true
Without graphing or using any algebraic methods, determine whether
or not there is a solution to the following:
3x+ y = 2
бх — 2у 3D 3
Transcribed Image Text:Match the words or phrases with their definitions. a. a formula for determining the roots of an equation of the form ax? + bx +c = 0, a + 0 1. root of an equation 2. quadratic equation b. a process for expressing y = ax" + bx +c in the form y = a(x-h)? + k - 3. completing the square C. an equation in the form ax + bx +c = 0, where a,b, and c are real numbers and a + 0 4. quadratic formula d. the value of the variable that makes an equation true Without graphing or using any algebraic methods, determine whether or not there is a solution to the following: 3x+ y = 2 бх — 2у 3D 3
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