All categories

3 years ago

Find the zeros of x^2+4x=-10 using the quadratic formula

2 answers:

7 0

X^2+4+10=0
x=(-4(+/-)root16-40)/2, so we now know that the zeros are imaginary, because you can't square root a negative number and 16-40 is -24
so the two roots are…
-2+iroot6 and -2-iroot6

Nookie1986 [14]3 years ago

6 0

X² + 4x = 10
x² + 4x - 10 = 10 - 10
x² + 4x - 10 = 0
x = -4 +/- √(4² - 4(1)(-10))
 2(1)
x = -4 +/- √(16 + 40)
 2
x = -4 +/ √56
 2
x = -4 +/- √(4 × 14)
 2
x = -4 +/- √4 √14
 2
x = -4 +/- 2√14
 2
x = -4 +/- 2(3.741657387)
 2
x = -4 +/- 7.483314774
 2
x = -4 + 7.483314774 x = -4 - 7.483314774
 2 2
x = 3.483314774 x = -11.483314774
 2 2
x = 1.741657387 x = -5.741657387

You might be interested in

Required information An article presents a new method for timing traffic signals in heavily traveled intersections. The effectiv

Natasha2012 [34]

Answer:

$652.6-2.01\frac{311.7}{\sqrt{50}}=563.997$

$652.6+2.01\frac{311.7}{\sqrt{50}}=741.203$

So on this case the 95% confidence interval would be given by (563.997;741.203)

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X=652.6$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

s=311.7 represent the sample standard deviation

n=50 represent the sample size

Soltuion to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=50-1=49$

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,49)".And we see that $t_{\alpha/2}=2.01$

Now we have everything in order to replace into formula (1):

$652.6-2.01\frac{311.7}{\sqrt{50}}=563.997$

$652.6+2.01\frac{311.7}{\sqrt{50}}=741.203$

So on this case the 95% confidence interval would be given by (563.997;741.203)

6 0

3 years ago

Chantel starts a savings account with $37. Each month she deposits $15 more into her account. Chantel now has saved $97. Which e

I am Lyosha [343]

hi daddyyyyyyyyyyyy baby

5 0

2 years ago

A quadratic function f(x)=ax2 passes through (0,0) and (5,5). write an equation for this function

krek1111 [17]

Answer:

y = (1/5)x² or y = x²/5

Step-by-step explanation:

We have the function f(x) = ax² and are given that the point (5,5) is on the parabola. We need to find 'a'. f(x) can be replaced with 'y', so we can rewrite the equation as...

y = ax²

We know that when x = 5, y = 5, so we have

5 = a(5²) now simplify...

5 = 25a

5/25 = a

1/5 = a, so our equation becomes

(1/5)x² or x²/5 (the expressions are equal)

8 0

3 years ago

HELPPPPP FAST PLEASEEEEEEEEEEEE

Drupady [299]

Answer:

45?

Step-by-step explanation:

7 0

2 years ago

Evaluate the expression when x = 12 and y = 2 x/3y

professor190 [17]

If you plug in 12 for x.
Your expression is y= 2(12)/3y
then you just solve for Y

5 0

3 years ago