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Andreas93 [3]
2 years ago
9

Solve x4 - 11x2 + 18 = 0.

Mathematics
2 answers:
VashaNatasha [74]2 years ago
8 0

Answer:

The second answer is correct.

Step-by-step explanation:

Mark brainliest if correct please

lara31 [8.8K]2 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

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Heather, Shen, and Aldo served a total of 57 orders Monday at the school cafeteria. Shen served 2 times as many as Aldo. Aldo se
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Answer:

Shen served 32 orders, Aldo served 16 orders and Heather served 9 orders

Step-by-step explanation:

Let S represent Shen, A, Aldo and H, Heather

Now, let's interpret the question

Shen served 2 times as many as Aldo, this gives:

S = 2A          ...eq 1

Aldo served 7 more orders than Heater

A = 7 + H     ... eq 2

Slot in the value of A in eq 1

Therefore,

S = 2 (7 + H)

Expand the bracket

S = 14 + 2H

Shen, Heather and Aldo served a total of 57 orders

S + A + H = 57

Slot in the values of S and A

(14 + 2H) + (7 + H) + H = 57

14 + 2H + 7 + H + H = 57

Collect like terms

14 + 7 + 2H + H + H = 57

21 + 4H = 57

4H = 57 - 21

4H = 36

H = 9

Substitute the value of eq 2

A = 7 + H

A = 7 + 9

A = 16

Substitute the value of A in eq 1

S = 2A

S = 2(16)

S = 32

Therefore, Shen served 32 orders, Aldo served 16 orders and Heather served 9 orders

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Determine which numbers the equations need to be multiplied by to form opposite terms of the y-variable. 3x - 1 4 y = 15 2 3 x -
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In the elimination method, one variable is eliminated from the system of equations to find the value of the other.

To create the opposite terms of the x-variable-

  • The first equation be multiplied by the number 4.
  • Second equation be multiplied by the number -6.

<h3>What is the elimination method?</h3>

To solve the system of equations and find the value of the variables, the elimination method is used.

In this method, one variable is eliminated from the system of equations to find the value of the other.

Given information-

The system of the equation given in the problem is,

\rm 3x-\dfrac{1}{4}y=15

The second equation given in the problem is;

\rm \dfrac{2}{3}x-\dfrac{1}{6}y=6

To eliminate the x term, make the coefficient of x of both equations equal.

It can be done by multiplying the coefficient of x term of the first equation to the second equation and the coefficient of x term of the second equation to the first equation.

The first equation is multiplied by;

\rm 4\times 3x-4\times \dfrac{1}{4}y=15\times 4\\\\12x-y=50

The second equation is multiplied by;

\rm -6 \times \dfrac{2}{3}x- -6 \times\dfrac{1}{6}y= -6 \times6\\\\-4x-y=-36\\\\4x+y=36

Hence, to create the opposite terms of the x-variable-

The first equation is multiplied by the number 4.

The second equation is multiplied by the number -6.

Learn more about the elimination method here;

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5L is 5000 mLso it would take 20
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