All categories

1 year ago

Select the two values of x that are roots of this equation.

Mathematics

1 answer:

Sunny_sXe [5.5K]1 year ago

7 0

Answer:

C and D

Step-by-step explanation:

x = 5 ± √25 - 8 / 2

= 5 ± √17 / 2

The correct options are C and D.

You might be interested in

Which of the following is a solution of x2 + 6x = −18? x = 3 − 3i x = −3 + 3i x = −6 + 3i x = 6 − 3i

Marina86 [1]

Step 1 ) Move all terms right side of the equation.

$\displaystyle\ x^{2} + 6x = -18$

$\displaystyle\ x^{2} + 6x + 18 = -18 + 18$

$\displaystyle\ x^{2} +6x + 18 = 0$

Step 2 ) Apply quadratic formula. (Note: There are 2 solutions)

$\displaystyle\ x^{2} +6x + 18 = 0$

$\displaystyle\ x = \frac{-b\sqrt{b^{2}-4ac}}{2a}, \displaystyle\ x = \frac{-b-\sqrt{b^{2}-4ac}}{2a}$

$\displaystyle\ x = \frac{-6+\sqrt{6^{2}-4 * 18}}{2} , \displaystyle\ x = \frac{-6-\sqrt{6^{2}-4*18}}{2}$

$\displaystyle\ x = \frac{-6+6i}{2}$ ,

$\displaystyle\ x = \frac{-6-6i}{2}$

Step 3 ) Simplify.

$\displaystyle\ x = \frac{-6+6i}{2}$ ,

$\displaystyle\ x = \frac{-6-6i}{2}$

$\displaystyle\ x = -3+ 3i$ ,

$\displaystyle\ x = -3 - 3i$

Since the options only provide one of the answer we found, the answer is...

$\displaystyle\ x = -3 - 3i$

•

- <em>Marlon Nunez</em>

6 0

2 years ago

Read 2 more answers

A special deck of cards has ten cards. Four are green, three are blue, and three are red. When a card is picked, its color of it

nata0808 [166]

Answer:

P(A) = 3/20

Step-by-step explanation:

P(A)=P(blue)P(head)=(3/10)(1/2)=3/20

as there are 10 cards in total, out of which 3 are blue so the probability to get the blue card is, P(blue) = 3/10. and the probability of getting a head when a coin is tossed is P(head) = 1/2.

So in total

P(A) = P(blue)*p(head) = (3/10)*(1/2) = 3/20 = 0.15

8 0

3 years ago

If u times 23 by 10 shouldn't u get 230 but my teacher says that's not it u have to did everything but I don't know what to did

cricket20 [7]

It is 230 I just clculated

4 0

2 years ago

Read 2 more answers

The teacher said we could estimate but give a good reason for that estimate

lyudmila [28]

Answer:

$11, even if you do work a job thats not that hard you should still be making a good amount of money

Step-by-step explanation:

I just used my opinion

5 0

2 years ago

Please help with the attachment

just olya [345]

Answer:

Step-by-step explanation:

In y=mx+b form, the b is the y-intercept, therefore where the line crosses the y-axis on the graph. In this graph, the line crosses the y-axis at 100. This means that the "b" value is 100. So far, our equation is y=mx+100.

Next, to find m, you go to any other point on the graph and see how much units (rise over run) you went to get there. I picked the point (2,150), You can see that it took me 1 unit up and 2 units to the right to get to that point, leading us to believe the slope is 1/2.

Finally, put everything together and you get the answer of y=1/2x+100 (the letters do not matter) :)

6 0

2 years ago

Read 2 more answers