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Minchanka [31]
3 years ago
7

What substitution should be used to rewrite 4x^4-21x^2+20=0 as a quadratic equation

Mathematics
2 answers:
Andreyy893 years ago
8 0

let y = x^2

4y^2 -21y + 20 = 0

solve for y

then substitute back in to get x

azamat3 years ago
7 0

Answer:

4y^2 - 21y + 20 = 0

Step-by-step explanation:

As (4x^4 - 21x^2 + 20=0) being a biquadratic equation, meaning it is a 4-degree equation without the terms of degree 1 and 3.

To solve this particular case you only need to replace the variables of degree 4 and 2 for a new variable of degree 2 and 1 and solve it as regular quadratic equation and then undo the change.

* Using a new variable we can rewrite the equation:

Let y be the new variable;

y= x^2, then y^2= x^4

Then we have;

4y^2- 21y+20=0

Solve for y and then find X which will be the roots for the biquadratic equation.

 

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It requires a minimum of ____ points to make up a plane
baherus [9]

Answer:

2

Explanation: A plane contains at least three non-collinear points. If two points lie in a plane, then the line containing them lies in the plane. If two planes intersect, then their intersection is a line.

3 0
2 years ago
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The equation of the graphed line is x+2y=5. what is the x-intercept of the graph?
Stella [2.4K]
The x-intercept is where the graph crosses the x-axis. that happens when y=0.

x + 2(0) = 5
x = 5

x-intercept is 5
4 0
3 years ago
Write an equation that is not a linear function explain why it is not linear​
Gre4nikov [31]

Answer:

x=y^2

Step-by-step explanation:

cause the definition of equation is one x correspond to one y,but one y can correspond to 2 x,

the picture I give to you a x correspond to 2 y

3 0
3 years ago
Jayden’s new puppy weighed 11 1/4 pounds at 4 weeks old. At 16 weeks old, the puppy weighed 1 2/3 times more.
musickatia [10]

Answer:

18.75 or 18 3/4 lbs

Step-by-step explanation:

We just have to multiply 11 1/4 and 1 2/3 to get the product, 18.75 or 18 3/4.

First we have to translate our fractions into decimals:

11.25 (11 1/4) and 1.166667 (1 2/3)

multiply:

11.25 x 1.166667 = 18.75

convert back to fraction:

18 3/4

Hope This helps! Good Luck! If you have any questions please ask me, I would me more than happy to help you understand this method. If you are doing it a different way, I can help with that too.

5 0
3 years ago
I need help. i don’t understand this question .
user100 [1]

So the question is asking to solve for y

You know RS=7y-4

You know ST=y+5

You know RT=28

RS+ST=RT as shown in the diagram, This means that you can use that equation and replace RS,ST, and RT with what you know they are equal too. So you end up with the equation:

(7y-4)+(y+5)=28, Now you have to solve for y

7y-4+y+5=28

8y+1=28

8y=27

y=3.375

6 0
3 years ago
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