Category Archives: Math 11

Blog Post – Week 6

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* Developing and Applying the Quadratic Formula

  • The solution of a quadratic equation, a𝑥² + b𝑥 + c = 0, where a,b, and c constants a ≠ 0, is given by the quadratic formula:  𝑥=  -b ±√b² – 4ac  ∕  2a

Examples

  1. 3𝑥² + 6𝑥 – 4 = 0

a = 3, b = 6, b = -4

𝑥 = -6 ±√6² – 4(3)(-4) / 2(3)

𝑥 = -6 ±√36 + 48 / 6

𝑥 = -6 ±√84 / 6

𝑥 = -1 ±√14

 

Solving Radical Equations – Week 5 blog post

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Solving Radical Equation

How to solving radical equation

  1. Isolate the radical expression
  2. Square both sides of the equation: If  x = y then x² = y²
  3. Once the radical is removed, solve for the unknown
  4. Check all answers.

Example.

  1. 𝒙² – 3 =13

+3        +3

√𝒙² = √16

𝒙 = 4

𝒙 = 4

 

2.  √𝒙+8 = 3

(√𝒙+8)² = 3²

𝒙 + 8 = 9

𝒙 = 1

 

 

Week 4 blog post

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2.3 Adding and Subtracting Radical Expression

  •     When adding and subtracting radical the startegies for simplyfying polynomials can be used to symplify sums and differences of radicals. Like terms or like radicals in a sum or difference of radicals have the same radicand and the same index

Example

  1. 7√9 – 4√9 = 3√9
  • 7√9 and 4√9 are like terms becasue they have the same radicand and the same index. combine like terms.

 

2. ∛384 – ∛162 + ∛750

= 4∛6 – 3∛6 + 5∛6

= ∛6 + 5∛6

= 6∛6

  • The radicands are different , so simplyify each radical, then solve it

 

Week 3 blog post – Absolute Value of a Real Number

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This week I learned about absolute value of a real number. Every real number can be represented as a point on a number line. The sign of the number indicates its position relative to 0. The magnitude of the number indicates its distance from 0.

The absolute value of -6 is  |-6|=6

 

Example:

|6-4| (7+9) – 6 (4-6)

= |2| (16) – 6 (-2)

= 2(16) – (-12)

= 32 +12

= 44

Week 2 – Infinite geometric series

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Infinite geometric series

 

S∞= a/1-r                    a=7,  r=0.2 or 1/5        3, 3/5, 3/25, 3/125…..

S∞=7/1-1/5

S∞=7÷4/5

S∞=35/4

 

This week , I learn Infinite Geometric Series. An infinite geometric series has an infinite number of terms. To determine the sum of an infinite geometric series, we need to know a, a is the t1. Common ratio is -1 < r < 1 . The sum of the series, S∞ is : S∞=a/1-r