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2 years ago

Find the real root of the equation x3 + x2 - 1 = 0 byusing iteration method.

Mathematics

1 answer:

Yanka [14]2 years ago

7 0

Answer:

i cant help that much but u can try using photomath

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What is the solution to the following system?

leva [86]

Answer:

(4,3,2)

Step-by-step explanation:

We can solve this via matrices, so the equations given can be written in matrix form as:

$\left[\begin{array}{cccc}3&2&1&20\\1&-4&-1&-10\\2&1&2&15\end{array}\right]$

Now I will shift rows to make my pivot point (top left) a 1 and so:

$\left[\begin{array}{cccc}1&-4&-1&-10\\2&1&2&15\\3&2&1&20\end{array}\right]$

Next I will come up with algorithms that can cancel out numbers where R1 means row 1, R2 means row 2 and R3 means row three therefore,

-2R1+R2=R2 , -3R1+R3=R3

$\left[\begin{array}{cccc}1&-4&-1&-10\\0&9&4&35\\0&14&4&50\end{array}\right]$

$\frac{R_2}{9}=R_2$

$\left[\begin{array}{cccc}1&-4&-1&-10\\0&1&\frac{4}{9}&\frac{35}{9}\\0&14&4&50\end{array}\right]$

4R2+R1=R1 , -14R2+R3=R3

$\left[\begin{array}{cccc}1&0&\frac{7}{9}&\frac{50}{9}\\0&1&\frac{4}{9}&\frac{35}{9}\\0&0&-\frac{20}{9}&-\frac{40}{9}\end{array}\right]$

$-\frac{9}{20}R_3=R_3$

$\left[\begin{array}{cccc}1&0&\frac{7}{9}&\frac{50}{9}\\0&1&\frac{4}{9}&\frac{35}{9}\\0&0&1&2\end{array}\right]$

$-\frac{4}{9}R_3+R_2=R2$ , $-\frac{7}{9}R_3+R_1=R_1$

$\left[\begin{array}{cccc}1&0&0&4\\0&1&0&3\\0&0&1&2\end{array}\right]$

Therefore the solution to the system of equations are (x,y,z) = (4,3,2)

Note: If answer choices are given, plug them in and see if you get what is "equal to". Meaning plug in 4 for x, 3 for y and 2 for z in the first equation and you should get 20, second equation -10 and third 15.

7 0

3 years ago

Which word describes the slope of the line? o positive O negative O zero undefined

4vir4ik [10]

I’m not to sure my my guess is zero because it is not going up or down

7 0

2 years ago

What is m2? What is m<1?

yuradex [85]

Answer:

∠ 2 = 75° , ∠ 1 = 105°

Step-by-step explanation:

∠ 2 and 75° are alternate angles and are congruent , then

∠ 2 = 75°

∠ 1 and ∠ 2 are a linear pair and sum to 180° , that is

∠ 1 + ∠ 2 = 180°

∠ 1 + 75° = 180° ( subtract 75° from both sides )

∠ 1 = 105°

3 0

1 year ago

Find the product, using suitable properties:

Ray Of Light [21]

Answer: a) 6700 b) 2233

Step-by-step explanation:

$(-67)*(-99)+(-67)*(-1)=\\(-67)*((-99)+(-1))=\\(-67)*(-100)=\\6700$

$29*(80-3)=\\(30-1)*(80-3)=\\30*80+(-1)*80+(-3)*30+(-1)*(-3)=\\2400-80-90+3=\\2403-170=\\2233$

8 0

1 year ago

PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU B

Dima020 [189]

Answer:

Step-by-step explanation:

y=3x+3, y=6x-6

6x-6=3x+3

3x=9

x=3

3 0

2 years ago

Read 2 more answers

Find the real root of the equation x3 + x2 - 1 = 0 byusing iteration method.​

Find the real root of the equation x3 + x2 - 1 = 0 byusing iteration method.