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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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I need help please ​
bija089 [108]

Hey There!

Lets Just Work through your answers,

ⓧ A - An isosceles triangle is a triangle with (at least) two equal sides, so this would not apply to the given triangle.

:) B - A scalene triangle is a triangle in which all three sides have different lengths so this applies to the given triangle. One side measures 10, one measures 11, and one measures 12.1

ⓧ C - A right triangle is a type of triangle that has one angle that measures 90 degrees, which this triangle does not so this does not apply.

ⓧ D - In geometry, an equilateral triangle is a triangle in which all three sides are equal, so this does not apply to the given triangle.

ⓧ E - An obtuse triangle is a triangle with one obtuse angle (greater than 90°) and two acute angles, so this does not apply to the given triangle.

:) F - An acute triangle (or acute-angled triangle) is a triangle with three acute angles less than 90 degrees. So this applies to the given triangle.

In Summary, B & F classify the given triangle correctly.

If you could rate five starts & give brainliest that would be greatly appreciated!

Hope I helped, Have a good day.

4 0
4 years ago
At a local gym, 10 of the 40 trainers currently have CPR certification. Next year, the gym plans to have 46 trainers, and the ow
notsponge [240]

I think that the answer should be B.

B because the owner should have found 25% of 46 by multiplying 0.25 x 46.

8 0
3 years ago
Read 2 more answers
√2/k+√2=1/k-√2 leaving your answer in the form p+m√n​
vesna_86 [32]

Answer: in decimal form=0.14644660

Step-by-step explanation:

4 0
3 years ago
Can someone explain how to solve x<br><br> 2(x+10)=20
trapecia [35]

So first you are going to want simplify the left side of the “=“ sign by multiplying the number outside the parenthesis, 2, by the numbers inside the parenthesis, (x+10). So, 2*x= 2x and 2*10=20. Bringing you to 2x+20=20, from here you want to isolate the variable, 2x, so you have to subtract 20 from both sides to do so. This brings you to 2x=0, when a variable is equal to zero, in specific problems, like this one, it is right, but always make sure to check your answer because in some problems when the variable is equal to 0 the answer is sometimes No Solution, so be careful. The way you want to be sure that x=0 in this equation is the plug it into the original equation, 2(x+10)=20, so it would be, 2(0+10)=20 and this goes to 2(10)=20, multiply the outside number to the inside which gives you 20 so then 20=20. It matches so it’s correct, THE ANSWER IS x=0, sorry if I made it complicated.

6 0
3 years ago
PLEASE HELP
SVEN [57.7K]

Answer:

Son's Age: 11

Mary's Age: 33

Step-by-step explanation:

Let set Mary and her son as variables,

M = Mary's age

S  = Mary's son age

<u>Breakdown:</u>

"Mary is three times as old as her son"

M = 3S

"In <em>12 years</em>, Mary's age will be one less than <u>twice her son's</u> age"

M <em>+ 12</em> = <u>2</u>(S <em>+ 12</em>) - 1

we add 12 to both sides as it will be in 12 years for both

We know that M = 3S, so we plug this in

3S + 12 = 2(S + 12) - 1

Now solve for <em>S (son's age),</em>

3S + 12 - 12 = 2(S + 12) - 1 - 12

3S = 2(S + 12) - 13

3S = 2S + 24 - 13

3S - 2S = 2S - 2S + 24 - 13

S = 24 - 13

S = 11

To find <u>Mary age</u>, plug in her son age ,

M = 3S

M = 3(11)

M = 33

Learn more about Substitution here: brainly.com/question/22340165

3 0
2 years ago
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