How to Solve the Special Relativity Time Dilation Equation for Velocity A Mathematical Puzzle.

Slides:



Advertisements
Similar presentations
Equations: Repeating Decimals as Rational #s Honors Math – Grade 7.
Advertisements

Start with your equation Move the # term to the other side, and leave a space Determine what HALF of the coefficient of X is Factor the left side Write.
Solving Linear Equations Rule 7 ‑ 1: We can perform any mathematical operation on one side of an equation, provided we perform the same operation on the.
EXAMPLE 1 Solve quadratic equations Solve the equation. a. 2x 2 = 8 SOLUTION a. 2x 2 = 8 Write original equation. x 2 = 4 Divide each side by 2. x = ±
Square Roots Simplifying Square Roots
= 9 = 8 = 12 = 19 = 2 = 3 = 17 = 5 = 11 = 5.
Solving 2-step equations ax + b = c. Keep it balanced Just like when solving a one- step equation keep it balanced. Just like when solving a one- step.
EXAMPLE 4 Solve a multi-step problem CRAFTS You decide to use chalkboard paint to create a chalkboard on a door. You want the chalkboard to have a uniform.
© 2007 by S - Squared, Inc. All Rights Reserved.
Solving Radical Equations
Lesson 13.4 Solving Radical Equations. Squaring Both Sides of an Equation If a = b, then a 2 = b 2 Squaring both sides of an equation often introduces.
Solve a radical equation
5.6 Complex Numbers. Solve the following quadratic: x = 0 Is this quadratic factorable? What does its graph look like? But I thought that you could.
EXAMPLE 6 Solve a rational equation given a function From 1995 through 2003, the annual sales S (in billions of dollars) of entertainment software can.
Solve the equation -3v = -21 Multiply or Divide? 1.
Radicals NCP 503: Work with numerical factors
EXAMPLE 2 Rationalize denominators of fractions Simplify
Radical The whole equation is called the radical. C is the radicand, this must be the same as the other radicand to be able to add and subtract.
Warm up! Simplify:. Solving Radical Equations What is a radical equation? An equation that contains a radical expression with a variable in the radicand.
5.6 Solving Quadratic Function By Finding Square Roots 12/14/2012.
Jeopardy Solving Equations Add and Subtract Multiply and Divide Multi-Step Variables on each side Grouping Symbols $100 $200 $300 $400 $500 $100 $200.
1.graph inequalities on a number line. 2.solve inequalities using addition and subtraction. Objective The student will be able to:
Solve two-step equations. 3.4 Objective The student will be able to:
5.3 Solving Quadratic Functions with Square Roots Step 1: Add or subtract constant to both sides. Step 2: Divide or multiply coefficient of “x” to both.
Chapter 5.9 Complex Numbers. Objectives To simplify square roots containing negative radicands. To solve quadratic equations that have pure imaginary.
5.5 Factoring Special Patterns 11/20/2013. Perfect Squares
EXAMPLE 2 Solving an Equation Involving Decimals 1.4x – x = 0.21 Original equation. (1.4x – x)100 = (0.21)100 Multiply each side by 100.
© 2007 by S - Squared, Inc. All Rights Reserved.
Solving One Step Equations with Decimals Example 1 x = x = 3.7 Check: x = 8.6 Does = 8.6? 8.6 = 8.6 Subtract.
5.9 Complex Numbers Alg 2. Express the number in terms of i. Factor out –1. Product Property. Simplify. Multiply. Express in terms of i.
Algebra 2 Section 3.1.  Square Root:  Cube Root:  4 th root:  5 th root:  6 th root:  111 th root:
Solving 2 step equations. Two step equations have addition or subtraction and multiply or divide 3x + 1 = 10 3x + 1 = 10 4y + 2 = 10 4y + 2 = 10 2b +
Jeopardy Solving Equations
Aim: How do we solve quadratic equations by completing square?
Solving Equations With Fractions
Objective The student will be able to:
Solving the Quadratic Equation by Completing the Square
EXAMPLE 2 Rationalize denominators of fractions Simplify
Completing the Square 8
Aim: How do we solve quadratic equations by completing square?
Finding a Percent of a Number
Equations Pre/Post Test
Solving Quadratic Equations by Completing the Square
Solve for variable 3x = 6 7x = -21
Solve a quadratic equation
Algebraic Inequalities
Completing the Square (3.2.3)
Solving quadratic equations
Solving Two-Step Equations
Factoring Special Cases
SECTION 9-3 : SOLVING QUADRATIC EQUATIONS
Lesson 2.1 How do you use properties of addition and multiplication?
Square and Cube Roots.
1B.1- Solving Quadratics:
Converting Repeating Decimals to Fractions
3.2 Complex Numbers.
Objective The student will be able to:
Squaring a value and finding its square root is the opposite
Objective The student will be able to:
Warmup Find the exact value. 1. √27 2. –√
Completing the Square.
To find the inverse of a function
Warm Up Solve for x. Simplify Simplify
To find the inverse of a function
Completing the Square Algebra Review.
2.2 Solving Equations with Variables on Both Sides
Warm-Up Set 1: Factor. 1) x2 + 6x + 9 2) x2 - 10x + 25 Set 2: Factor.
Solving basic equations
Solving Quadratic Equations by Finding Square Roots
Objective Solve radical equations.. Objective Solve radical equations.
Presentation transcript:

How to Solve the Special Relativity Time Dilation Equation for Velocity A Mathematical Puzzle

Here is the equation to start with

Put in the numbers you want. Note that t0 is the ship time, and t is the time for the stationary observer

Now, switch the two terms by cross multiplying 15

Now, switch the two terms by cross multiplying

15 Now, switch the two terms by cross multiplying

Now, square both sides

Simplify

And convert to a decimal

Add to both sides

Simplify

Subtract from both sides

Simplify

Take the square root of both sides

Cross multiply the c

You can leave this as your answer OR

Convert to a velocity in m/s