Tell
The thing that I learned this week are solving radical equations and factoring polynomial expressions.
The left side is equal to the right side, so the solution is: x=20
Taking a square root is the inverse of squaring.
These inverse operations are used to solve radical equations.
Step:
1.Isolate the radical
2.Square both sides
3.Solve for X
4.Check for Extraneous roots by substituting.
(√5x-9)-2=7
5x-9>0
x>1.8
(√5x-9)-2=9
5x-9=81
5x=90
x=18
Tell
The thing that I learned this week are Simplifying Radical Expressions, Adding and Subtracting Radical Expressions, Multiplying and Dividing Radical Expression.
radicand is consists of index, radicand and coffcient .
And Roots include the Square Roots, Cube Roots and other Roots.
If √ssasdasdasda16=4 ,So it’s the perfect Square, because 4 is an integer.
If ³√8=2, So it’s the perfect cube.
And √x2=|x| , to simplify radicals with index 2.
All square numbers are greater than or equal to 0,so the expression √x has a real number value only when x is greater than or euqal to 0. √x is defined for X∈R, x>=0
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The thing that I learn this week are Infinite Geometric Series, Absolute Value of a Real Number
Absolute Value is the principal square roof of the square of the number.
Every real number can be represented as a point on a number line.
The sigh of the number indicates its position relative to 0 .
The magnitude of the number indicates its distance from 0 .
On the number line below, each of the numbers -2 and 2 is located 2 units from 0. So, each number has an absolute value of 2 . This is written as:|-2|=2 and |2|=2
|6|=√（6）^2 |-6|=√(-6)^2
the distance from 0 is 6. 6^2=36 √36=6 so |6|=√(6)^2 |-6|=√(-6)^2
Tell
The thing that I learn this week are arithmetic sequence, arithmetic series, geometric sequences and geometric series.
In an arithmetic sequence, the difference between consecutive terms is constant. This constant value is called the common difference.
The General Term of an Arithmetic Sequence is :tn = t1 + d( n – 1 ) When the terms of an arithmetic sequences are added together it is known as an arithmetic series.
The sum of n terms of an arithmetic series: Sn = n(t1+tn)/2 or Sn = n[2t1+d(n-1)]/
A Geometric sequence is formed by multiplying each term after the 1st term by a constant, to determine the next term. The constant is the common ratio,r, of any term by the preceding term. tn=a*r^(n-1) A geometric series is the sum of the terms of a geometric sequence. So the sum of n terms of a geometric series. Sn=t1(1-r^n)/1-r , r not = 1
PART1: 1,3,5,7,9…….
t50=t1+(n-1)d
t50=1+49*2=99
tn=1+(n-1)*2=1+2n-2=-1+2n
PART2: Sn=n/2(t1+t50)=25*(1+99)=2500