MATHEMATICS HIGH SCHOOL

Using the quadratic formula to solve x2 + 20 = 2x, what are the values of x?a. 1+-/21 i
b.-1+-/19i
c. 1+-2/19i
d. 1+-/19i

Answers

Answer 1

Answer:

Answer:

The last option is the correct one

Explanation:

The general form of the quadratic equation is:

ax² + bx + c = 0

The given equation is:

x² + 20 = 2x

which can be rewritten as:

x² - 2x + 20 = 0

By comparison:

a = 1

b = -2

c = 20

The quadratic formula used to get the roots is shown in the attached image

We now substitute to get the roots as follows:

x = $(2+√((-2)^2-4(1)(20)))/(2(1)) = 1+√(19) i$

or x = $(2-√((-2)^2-4(1)(20)))/(2(1)) = 1-√(19) i$

Hope this helps :)

Answer 2

Answer: To solve x^2 + 20 = 2x. First, we take all values to the left hand side and equate it to zero. x^2 - 2x + 20 = 0 The quadratic formular is given by x = (-b + or - sqrt(b^2 - 4ac)) / 2a, where: a = 1, b = -2 and c = 20 x = (-(-2) + or - sqrt((-2)^2 - (4 x 1 x 20))) / (2 x 1) = (2 + or - sqrt(4 - 80)) = (2 + or - sqrt(-76)) / 2 = (2 + or - 2sqrt(-19)) / 2 = 1 + or - sqrt(-19) = 1 + or - sqrt(19) i. Therefore, the solution to x^2 + 20 = 2x is x = 1 + or - sqrt(19) i (option d).

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What is the solution of 2=6p-8-5p?

Answers

The simplified solution is 3/5 or .6.

You fill a container 3/4 full of water. The amount of water now in the container is 6 quarts. How much can the container hold?a. 12 qt
b. 8 qt
c. 6 qt
d. 14 qt

Answers

To solve this, you need to use cross multiplication. The first fraction, is 3/4 and the second is 6/x, with x meaning how much the container can hold. Multiply 3x(x) and 4x6 equating to 3x=24. From here, use algebra to solve for x, by dividing both sides by three.
Your final answer will be B) 8 qts

Answer:

8 qt

Step-by-step explanation:

Multiply 3x(x) and 4x6 equating to 3x=24 and then algebra to solve for x, by dividing both sides by three.

Factor the polynomial 6b^2-17b+10

Answers

$6b ^ 2-17b +10 \n \n\Delta = b^(2)-4ac = (-17)^(2)-4*6*10=289-240=49\n \nx_(1)=(-b-√(\Delta ))/(2a) =(17- √(49))/(2*6)=(17-7)/(12)= (10)/(12)=(5)/(6)\n \nx_(2)=(-b+√(\Delta ))/(2a) =(17+ √(49))/(2*6)=(17+7)/(12)= (24)/(12)=2 \n \n Answer : \ x=(5)/(6) \ \ or \ \ x=2$

Please help asap! file attached below!

Answers

I got B but you may want to check with some other people's answer choices before you put in my answer hope this helps in the meantime though I'm pretty confident in my answer

Paul, Colin and Brian are waiters. One night the restaurant earns tips totalling £77.40.
They share the tips in the ratio 1:3:5.
How much more does Brian get over Paul?

Answers

You have to add the ratio, which is 1:3:5 and 1+3+5= 9. Then you must do £77.40 divided by 9. This gives you £8.6. So 1 part is £8.60, also how much Paul got. To find out Brian, you must do 5 multiplied by £8.60 which gives you £43. Then, to get the difference, you must do £43 take away £8.60, giving you £34.40. Your final answer will be £34.40. I hope this helped!

In the workbench drawer, the ratio of hex bolts to all bolts is 0.26. Write the ratio as a fraction in simplest form. As a fraction, the ratio of hex bolts to all bolts is