Saxon Math Course 2 Answers

Introduction to Saxon math course 2 answers:

Saxon math course 2 is nothing but an intermediate algebra; Saxon math algebra 2 is the subdivision of mathematics relative to the study of the rules of relatives and operations, and the constructions arising from them together with equations, algebraic expressions, conditions and polynomials. In Saxon math course 2, an algebraic expression represents a scale, which is nothing, but a number is added or subtracted or multiplied or divided on both the sides of the scale. In Saxon, math algebra 2 numbers are considering as constants. Saxon math course 2 answers consist of algebra problems with detailed answers.

Examples for Saxon math course 2 answers:

Example 1:

Calculate the real solutions to the equation.

1 – 1 / (x – 3) = -6 / (x 2 - 9)

Solution:

The given equation consists of two rational expressions. Multiply the denominator term (x – 3)(x + 3) on both sides.

(x – 3)(x + 3)(1 – 1 / (x – 3)) = (x – 3)(x + 3)( -6 / (x 2 - 9) )

Cancel the common factors from the above expression.
(x – 3) (x + 3) – (x + 3) = – 6

Multiplying the above expression and solve it.
x 2 - x – 12 = -6

Add 6 on both sides.
x 2 - x – 6 = 0

Factor the above equation.
(x + 2) (x – 3) = 0

Therefore the result is,
X1 = -2
x2 = 3

At x=3 the given equation becomes zero. So it is not the solution for the given equation. Therefore

 The solution for the above equation is x = -2.

Example 2:

Calculate the real solutions to the equation

Sqrt (3 x – 14) = x – 4

Solution:

Given expression is
sqrt (3 x – 14) = x – 4

Squaring on both sides.
[Sqrt (3 x - 14)] 2 = (x – 4) 2

And solve it.
3x -14 = x 2 - 8 x +16

Rewrite the above equation with right side equation to 0.
X 2 -11 x + 30 = 0

The above expression is a quadratic equation with 2 solutions
x = 5 and x = 6

Practice problems for Saxon math course 2 answers:

1) Calculate the real solutions of the equation.

1 – 1 / (x – 4) = -8 / (x 2 - 16)

Answer:    x = -3 is the solution for the above equation.

2) Calculate the real solutions of the equation

                             Sqrt (6 x – 4) = x – 9

Answer: x=17 and x= -5 is the solution.

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