How would you find the real solution, by using the quadratic formula.
x^2-4x+2=0

Answers

Answer 1

Answer: $x^2-4x+2=0 \n \na=1 \n b=-4 \n c=2 \n b^2-4ac=(-4)^2-4 * 1 * 2=16-8=8 \n \nx=(-b \pm √(b^2-4ac))/(2a)=(-(-4) \pm √(8))/(2 * 1)=(4 \pm √(4 * 2))/(2)=(4 \pm 2√(2))/(2)=(2(2 \pm √(2)))/(2)=2 \pm √(2) \n\boxed{x=2-√(2) \hbox{ or } x=2+√(2)}$

Answer 2

Answer: $x^2-4x+2=0\nx^2-4x+4-2=0\n(x-2)^2=2\nx-2=\sqrt2 \vee x-2=-\sqrt2\nx=2+\sqrt2 \vee x=2-\sqrt2$

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Ms. Scott wrote a test. Part A had true/false questions, each worth 6 points. Part B had multiple choice questions, each worth 4 points. She made the number ofpoints for Part A equal the number of points for Part B. It was the least number of points for which this was possible,
Answer the following questions.
How many points was each part worth?
points
How many questions did Part A have?
questions
How many questions did Part B have?
questions

Answers

Answer:

1. How many points was each part worth?

- 12 points

2. How many questions did part A have?

- 2 questions

3. How many questions did Part B have?

- 3 questions

Step-by-step explanation:

We can set up our equation like this:

6x = 4y

In the above equation, x is representing the number of true/false questions and y is representing the nymber of multiple choice questions.

Now, the problem tells us that they want the least number of points possible so we know we need to use low numbers.

Since 6 is higher than 4, it's easier to go off of there.

6 x 1 = 6 4 is too big to go into 6 so we will move on.

6 x 2 = 12 4 goes into 12 3 times so we can use this.

Now that we've figured this out, we can put it in our equation:

6(2) = 4(3)

In the above equation, we can see that I've put 2 in for x because we multiplied 6 by 2 to get 12. I also put 3 in for y because we multiplied 4 by 3.

Now we can start with the questions:

1. How many points was each part worth?

Each part was worth 12 points because we can multiply 6 by 2 and get 12 or 4 by 3 and get the same thing

2. How many questions did part A have?

Part A had 2 questions because this is what x was when we multiplied by 6

3. How many questions did Part B have?

Part B had 3 questions because this is what y was when we multiplied by 4

Hope this helps!!

Final answer:

Each part is worth 12 points. Part A has 2 questions. Part B has 3 questions.

Explanation:

The problem states that the number of points for Part A is equal to the number of points for Part B, and we need to find the least number of points for which this is possible. Let's represent the number of questions in Part A as x. Since each true/false question is worth 6 points, the total points for Part A will be 6x. Similarly, let's represent the number of questions in Part B as y. Since each multiple choice question is worth 4 points, the total points for Part B will be 4y. To find the least number of points for which the two parts are equal, we need to find the smallest common multiple of 6 and 4.

The prime factorization of 6 is 2 x 3.

The prime factorization of 4 is 2 x 2.

From the prime factorization, we can see that the least common multiple (LCM) of 6 and 4 is 2 x 2 x 3 = 12.

Therefore, each part is worth 12 points.

To find the number of questions in Part A and Part B, we can substitute 12 for the total points in each part and solve for x and y:

6x = 12

x = 2

4y = 12

y = 3

Learn more about Least Common Multiple here:

brainly.com/question/34291727

#SPJ2

Can a quadratic equation have more than two solutions?

Answers

A quadratic equation always has exactly two solutions. If the quadratic
expression is a perfect square, then they're both the same solution.

Quadratic equation can have maximally two solutions if delta>0.

What is the value of y in the equation 4(5y –8 –2) = 185 –15?

Answers

In an equation the Left hand side must equal the right hand side 4(5y-8-2)=185-15 20y-32-8=170 20y=170+32+8 20y=210 Therefore y=10,5 When you substitute the 10,5 and solve it on the left and side it's equal to 170 which is the answer on the right hand side

Answer: 10.5

Step-by-step explanation:

I know this cause I'm smart lol

Which ordered pairs make both inequalities true? Check all that apply.
First get brainliest!!!

Answers

Answer:

(0, -2) and (1, 1) both work in this system of equations.

Step-by-step explanation:

Happy to help! The best way to find if it is a solution is to look for those points on the graph. When we graph the point, it needs to fall in an area where both lines or shaded or on a solid line.

Look carefully and see if you can find points like these!

(0, -2) falls on a solid line.

(1, 1) falls in the double shaded area.

Therefore, (0, -2) and (1, 1) both work in this system of equations.

Good luck!

Answer:

1,1 and 2,2

Step-by-step explanation:

i just took the test

The perimeter of a rectangle is 154 feet. The length of the rectangle is 55 feet. What is the width of the rectangle?

Answers

Hi there! Okay well to find out the width when you all ready have the perimeter and length just add up both sides of the length, 55+55=110 okay now just subtract 110 from 154, 154-110=44 now since there are to sides for width in a rectangle divide 44 by 2, 44÷2=22 so your width is 22 now to check add up all your side's: 55+22+55+22=154 ANSWER: width = 22ft

Answer: if you need help with an answer your but will help you

Step-by-step explanation:

Tahmar knows the formula for simple interest is I = Prt, where I represents the simple interest on an amount of money, P, for t years at r rate. She transforms the equation to isolate P : P = . Using this formula, what is the amount of money, P, that will generate $20 at a 5% interest rate over 5 years?