MATHEMATICS HIGH SCHOOL

Tran is solving the quadratic equation 2x2 – 4x – 3 = 0 by completing the square. His first four steps are shown in the table.A table listing the first few steps in deriving the quadratic formula
In which step did Tran first make an error?

Answers

Answer 1

Answer:

The solution to the quadratic equation 2x² - 4x - 3 = 0 is x = 1 ± √2.5

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Solving the polynomial using completing the square:

2x² - 4x - 3 = 0

First divide through by 2:

x² - 2x - 3/2 = 0

add 3/2 to both sides:

x² - 2x - 3/2 + 3/2 = 0 + 3/2

x² - 2x = 3/2

add the square of half the coefficient x to both sides:

x² - 2x + 1 = 3/2 + 1

(x - 1)² = 2.5

taking square root:

x - 1 = ±√2.5

x = 1 ± √2.5

The solution to the quadratic equation 2x² - 4x - 3 = 0 is x = 1 ± √2.5

Find out more on equation at: brainly.com/question/2972832

#SPJ1

Answer 2

Answer:

Answer: Step 3

Step-by-step explanation: this is the right answer on the edge, hope this helps!

Related Questions

herky is putting money into a savings account on a weekly basis to buy a dvd player that costs $179.40 including tax. he asks mario how much he should save per week to buy the player in 8 weeks if he already has $35.00 saved. mario gives him the answer and explains how he found the answer. what does mario say?
A function is created to represent the balance on a credit card each month. What restrictions would be made to the range?A)The range would only include integers.B)The range would only include positive integers.C)The range would only include negative integers.D)The range would include all real numbers.Please, support your answer with an example.
-9x+4=-8-5x helppppp plsssss
X + y = 102x + 4y = 36
A factory produces 90 packages of mixed nuts in 1 min. A quality control manager selected 8 of these 90 packages at random and then counted the number of nuts in each package. The manager recorded the results.31, 31, 32, 33, 35, 35, 35, 36 What is the estimated median number of nuts in all 90 packages? ________

One milliliter of water weighs one gram. Explain the relationship between the conversion. Then draw a conversion chart to show the relationship between one milliliter of water and grams, milligrams, kilograms, and metric tons.

Answers

Well, one mililiter is one gram, 1000 miligrams, .001 kilograms and $10^(-6)$ metric tons.

Answer:

one square millimeter of water weighs one gram. That's the relationship

Step-by-step explanation:

The sum of all of the solutions for the equation (6x+k)(3x-11)=0 is 1. What is the value of k?

Answers

Answer:

-6x

Step-by-step explanation:

your school sells tickets for its winter concert. Student tickets are $5 and adult tickets are $10. If your school sells 85 tickets and makes $600, how many of each ticket did they sell?

Answers

Let s be the number of student tickets and a be the number of adult tickets.
s + a = 85; a = 85 - s
Also,
5s + 10a = 600

Substituting a from the first equation
5s + 10(85 - s) = 600
-5s = -250
s = 50
a = 85 - 50 = 35
The school sold 50 student tickets and 35 adult tickets.

PLATOA six-sided die of unknown bias is rolled 20 times, and the number 3 comes up 6 times. In the next three rounds (the die is rolled 20 times in each round), the number 3 comes up 6 times, 5 times, and 7 times.

The experimental probability of rolling a 3 is %, which is approximately % more than its theoretical probability. (Round off your answers to the nearest integer.)

Answers

Answer:

The experimental probability of rolling a 3 is 30%, which is approximately 13% more than its theoretical probability.

Answer:

StepLet's right out the amount of times out of 20 the number 3 came out for all trials:

6/20 , 6/20, 5/20, 7/20

This probability averages at: 6/20 (6 + 6 + 5 + 7 /4 ) = 0.3

The normal probability to get one number is = 0.1666 recurring (1/6)

In relation to the normal probability the probability of getting a 3 on this die is almost double.

The experimental probability consistent with this simulation is: 6/20 (0.3)

The original price of a computer is $599.99. Suzie has a 15%-off coupon for the computer. A sales tax of 7% will be added to the sale price of the computer. Which expression would calculate how much Suzie will pay for the computer?