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.In which step did Tran first make an error?

Step 1
Step 2
Step 3
Step 4

Answers

Answer 1
Answer: The following steps of solving for the roots of 2x² - 4x -3 = 0 were retrieved from another source Step 1 2x² - 4x = 3 Step 2 2(x² - 2x) = 3 Step 3 2(x² - 2x + 1) = 3 + 1 Step 4 2(x - 1)² = 4 From this, we can see that on Step 3, Tran made a mistake of adding 1 to 3. As we can see, 2(x² - 2x + 1) = 2x² - 4x + 2. That means, instead of adding 1, it should have been 2. Therefore, the step that Tran first made an error is Step 3.
Answer 2
Answer:

The solution to the quadratic equation 2x² - 4x - 3 = 0 is given as x = 1 ± √5/2

What is an equation?

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

Given the quadratic equation:

2x² - 4x - 3 = 0

Using completing the square, add 3 to both sides:

2x² - 4x - 3 + 3 = 0 + 3

2x² - 4x = 3

Divide through by the coefficient of x²:

x² - 2x = 3/2

Add to both sides the square of half the coeficient of x:

x² - 2x + 1 = 3/2 + 1

(x - 1)² = 5/2

x = 1 ± √5/2

The solution to the quadratic equation 2x² - 4x - 3 = 0 is given as x = 1 ± √5/2

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

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If f(x) = 0.5(1 – x), what is the value of f(–1)?A. 0
B. 1
C. 2.5
D. 0.5

Answers

Answer:

f(-1)=1

Step-by-step explanation:

If f(x) = 0.5(1 - x), find the value of f(-1)

we are given with function f(x) = 0.5(1 - x)

To find f(-1) we plug in -1 for x in f(x)

f(x) = 0.5(1 - x)

f(-1) = 0.5(1 - (-1))

f(-1) = 0.5(1+1)

f(-1) = 0.5(2)

f(-1)=1
  f(x) = 0.5(1 - x) 
f(-1) = 0.5(1 - (-1)) 
= 0.5(2) 
= 1 
answer B   

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What is 6/10 plus 3/100

Answers

decimal form: 0.63
fraction form: (63)/(100)

Answer:

decimal form: 0.63

fraction form:  \frac{63}{100}

Step-by-step explanation:

3 goes after 6 and 100 replaces 10. For the decimal form you divide 63 by 100, which results in 0.63.

PLEASE HELP ITS URGENT!

Answers

Answer:

which one 3 or 4. please tell me

Solve 2x(28+2x)+2(12x)=86 using quadratic formula

Answers

Answer:86

Step-by-step explanation:

1 simplfy  

2 use quadratic formula

3 simplfy again

do all the step then u will find you answer

Which variable is most important to the following problem?A tentmaker has 60,000 tents in stock. The Army decides to order 350 tents
for each of its 200 brigades. Will the tentmaker have enough tents in stock?
O A. the price of one tent
O B. the number of tents the Army orders
C. the size of each tent

Answers

Answer:

B.) the number of tents the army orders

Step-by-step explanation:

The word problem does not speak of any prices or tent sizes so it cant be A or C

Answer:

its B

Step-by-step explanation:

How is 21\30 bigger then 2\3

Answers

To see how 2/3 is larger than 21/30, it helps to put them in terms of the same denominator. To do this, we can multiply 2/3 by 10/10, which gives us 20/30.

Now it is easy to see that 21/30 is indeed larger than 2/3, which is equal to 20/30.
3x10=30 
2x10=20, so 21 over 30 is a little bigger

Also

When you divide 21/30 you get 0.7 and when you divide 2/3 then you 0.66667 which shows that 21/30 is greater than 2/3 
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