All categories

3 years ago

A number is 6 less than its square. find all such numbers?

Mathematics

2 answers:

Svetllana [295]3 years ago

5 0

X= x^2-6
x^2-x-6=0
x 1= (1+V 1+4*6)/2
x1= (1+V25)/2
x1= (1+5)/2
x1=6/2
x1=3
x2= (1-5)/2
x2 = - 4/2
x2 = -2

cestrela7 [59]3 years ago

3 0

Hello There!

2² - 6 = -2
3² - 6 = 3
4² - 6 = 10

Etc....the list goes on

Hope This Helps You!
Good Luck :)

- Hannah ❤

You might be interested in

What is the value of each expression (-3)2

k0ka [10]

First you had to remove parenthesis first.

$-3*2=-6$

Multiply by the numbers.

$3*2=6$

Final answer $\boxed{=-6}$

$6/3=2$

$2*3=6$

$6/2=3$

Hope this helps!

And thank you for posting your question at here on brainly, and have a great day.

-Charlie

5 0

3 years ago

Data is collected to compare two different types of batteries. We measure the time to failure of 12 batteries of each type. Batt

-Dominant- [34]

Using the t-distribution, it is found that since the test statistic is greater than the critical value for the right-tailed test, it is found that there is enough evidence to conclude that Battery B outlasts Battery A by more than 2 hours.

At the null hypothesis, it is tested if it does not outlast by more than 2 hours, that is, the subtraction is not more than 2:

$H_0: \mu_B - mu_A \leq 2$

At the alternative hypothesis, it is tested if it outlasts by more than 2 hours, that is:

$H_1: \mu_B - \mu_A > 2$

The sample means are: $\mu_A = 8.65, \mu_B = 11.23$

The standard deviations for the samples are $s_A = s_B = 0.67$

Hence, the standard errors are:

$s_{Ea} = S_{Eb} = \frac{0.67}{\sqrt{12}} = 0.1934$

The distribution of the difference has mean and standard deviation given by:

$\overline{x} = \mu_B - \mu_A = 11.23 - 8.65 = 2.58$

$s = \sqrt{s_{Ea}^2 + s_{Eb}^2} = \sqrt{0.1934^2 + 0.1934^2} = 0.2735$

The test statistic is given by:

$t = \frac{\overline{x} - \mu}{s}$

In which $\mu = 2$ is the value tested at the hypothesis.

Hence:

$t = \frac{\overline{x} - \mu}{s}$

$t = \frac{2.58 - 2}{0.2735}$

$t = 2.12$

The critical value for a right-tailed test, as we are testing if the subtraction is greater than a value, with a 0.05 significance level and 12 + 12 - 2 = 22 df is given by $t^{\ast} = 1.71$

Since the test statistic is greater than the critical value for the right-tailed test, it is found that there is enough evidence to conclude that Battery B outlasts Battery A by more than 2 hours.

A similar problem is given at brainly.com/question/13873630

7 0

3 years ago

Choose the polynomial that is written in standard form. (1 point)

Hitman42 [59]

The answer is D.) -2x^5y^3 + 4x^2y^2 + x^2

5 0

3 years ago

What is the speed of a bus that travels 250 km in 2 hours

Ber [7]

The speed of a bus that travels 250 km in 2 hours is 145 because you have to divide 250 km and 2 hours which gives 145.

Hope this helps:)

8 0