All categories

3 years ago

Solve x4 - 11x2 + 18 = 0.

Mathematics

2 answers:

VashaNatasha [74]3 years ago

8 0

Answer:

The second answer is correct.

Step-by-step explanation:

Mark brainliest if correct please

lara31 [8.8K]3 years ago

6 0

Answer:

x=√2, x=-√2, x= 3 and x=-3

Step-by-step explanation:

We need to solve the equation x^4 - 11x^2+18=0

We can replace x^4 = u^2 and x^2 = u

So, the equation will become

u^2 -11u+18 = 0

Factorizing the above equation:

u^2 -9u-2u+18 =0

u(u-9)-2(u-9)=0

(u-2)(u-9)=0

u=2, u=9

As, u = x^2, Putting back the value:

x^2 =2 , x^2 =9

taking square roots:

√x^2 =√2 ,√x^2=√9

x=±√2 , x = ±3

so, x=√2, x=-√2, x= 3 and x=-3

You might be interested in

A central angle Theta of a circle with a radius of 16 inches intercepts an arc of 19.36 inches, find theta

rosijanka [135]

The length of the arc =R × theta
theta =the length of the arc /R
theta =16/19.36
that's what i know

7 0

3 years ago

Read 2 more answers

Which statement about a rotation is true? A. Rotating a right trapezoid around its vertical axis will form a cone. B. Rotating a

yawa3891 [41]

Rotating a shape involves moving it in a circular way around its axis

The true statement about the rotation is (c) Rotating a right triangle around its vertical axis will form a cone.

<h3>How to determine the rotation?</h3>

When a two-dimensional shape such as triangles, trapezoid, square, rectangles, etc are rotated about their axes, the new shape formed is a three-dimensional shape

As a general rule, the rotation of a right triangle around its axis would form a cone.

Hence, the true statement about the rotation is (c)

Read more about rotation at:

brainly.com/question/4289712

3 0

2 years ago

How many total terms are there in the following sequence. 7,10,13,...,391,394

nlexa [21]

Answer: n = 130

Step-by-step explanation:

The sequence is an Arithmetic progression ( AP )

The last term of the sequence is (L) is 394 with the formula

L = a + ( n- 1 )d . From the sequence, a = 7, d ( common difference ) = 3 and L ( last term ) = 394, and n = ?

Put those values in the formula above and solve for n.

a + ( n - 1 )d = L

7 + ( n - 1 ) x 3 = 394

7 + 3n - 3 = 394

4 + 3n = 394

3n = 394 - 4

3n = 390

n = 130

4 0

3 years ago

Read 2 more answers

Math question please help<br> If you get this right I will mark you as a brainliest

Phoenix [80]

That's an easy parallelogram, parallel to the x axis. Let's label the points

A(-4,-1),B(-2,4),C(4,4),D(2,-1)

AD and BC are the sides parallel to the x axis. We'll call those the base, it has length 4 - -2 = 6.

The height is the change in y between the bases, so 4 - -1 = 5.

The area is base times height, 6 × 5 = 30

Answer: 30

The shoelace formula gives us the area of a polygon from 2D coordinates without worrying about the shape:

(-4,-1),(-2,4),(4,4),(2,-1)

(-2,4),(4,4),(2,-1),(-4,-1)

$A = \frac 1 2 | -4(4) - (-1)(-2) + (-2)(4) - 4(4) + 4(-1) - 4(2) + 2(-1) - (-1)(-4) |$

$A = \frac 1 2 |-60| = 30 \quad \checkmark$

4 0

3 years ago

Suppose that a random sample of size 64 is to be selected from a population with mean 40 and standard deviation 5. (a) what are

Vika [28.1K]

The sample mean is equal to the population mean.
$\bar{X}=\mu=40$
The standard deviation of X-bar (the standard error) is:
$S.E.=\frac{\sigma}{ \sqrt{n} }=\frac{5}{\sqrt{64}}=0.625$

6 0

3 years ago