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1 year ago

Here I need it asap.....................

Mathematics

1 answer:

balandron [24]1 year ago

5 0

Answer: it's 72 (B)

Step-by-step explanation: that's what I put. It was correct

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What are the solutions of the equation x4 + 3x2 + 2 = 0? Use u substitution to solve. x = plus-or-minus i StartRoot 2 EndRoot an

Rom4ik [11]

Answer:

$x=\pm\sqrt{2}i\text{ (or) }x=\pm i$

Step-by-step explanation:

We have been given an equation $x^4 + 3x^2 + 2 = 0$ . We are asked to find the solutions of our given equation using u-substitution.

We can rewrite our given equation as:

$(x^2)^2+3x^2+2 = 0$

Let us assume that $u=x^2$ .

$u^2+3u+2 = 0$

$u^2+2u+u+2 = 0$

$u(u+2)+1(u+2) = 0$

$(u+2)(u+1) = 0$

$(u+2)=0\text{ (or) }(u+1) = 0$

$u=-2\text{ (or) }u=-1$

Upon substituting back the value of u, we will get:

$x^2=-2\text{ (or) }x^2=-1$

$x=\pm\sqrt{-2}\text{ (or) }x=\pm\sqrt{-1}$

$x=\pm\sqrt{-1\cdot 2}\text{ (or) }x=\pm\sqrt{-1}$

Now we will use imaginary unit i. We know that $i^2=-1$ .

$x=\pm\sqrt{i^2\cdot 2}\text{ (or) }x=\pm\sqrt{i^2}$

$x=\pm\sqrt{2}i\text{ (or) }x=\pm i$

Therefore, the solutions for our given equation are $x=\pm\sqrt{2}i\text{ (or) }x=\pm i$ .

5 0

3 years ago

Read 2 more answers

Given the following geometric sequence, find the 12th term: {2, -4, 8, ...}.

BaLLatris [955]

2 times what = -4?
-2 does
-2 x 2 = -4

-4 time what = 8?
Again, -2.
-2 x -4 = 8

You could do this over and over again or make a table, or you can make a function.
f(n) = f(1) • r $^{n-1}$
f(1) in this case is 2.
f(n) = 2 • r $^{n-1}$
r is rate of change, which is -2.
f(n) = 2 • -2 $^{n-1}$
To find the 12th number in the sequence, just substitute n for 12.
f(12) = 2 • -2 $^{12-1}$
f(12) = 2 • -2 $^{11}$
-2^11 = -2048
2 x -2048 = -4096
So the 12th number in the sequence will be -4096.

3 0

4 years ago

Give the quadratic sequence 2,3,10,23,........<br>write down the next term of the sequence.

Nataly_w [17]

Answer:

The next term of the sequence is 42

3 0

2 years ago

Turn this into an equation. what percent of 1800 is 20.

Talja [164]

1800x = 20 is the equation

8 0

4 years ago

Write this sentence as a proportion:x is to 8 as 5 is to 9

Gwar [14]

x : 8 = 5 : 9

Hope this helps.

3 0

4 years ago