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3 years ago

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

Mathematics

1 answer:

Marat540 [252]3 years ago

7 0

Answer:

u = x^2

Step-by-step explanation:

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The value 5pi/2 is a solution for the equation 2sin^2x -sin x -1=0

victus00 [196]

Answer:

5π/2 it is not a solution for the equation 2sin²x - sinx - 1 = 0

Step-by-step explanation:

∵ 2sin²x - sin x - 1 = 0

* Lets factorize it as a quadratic equation

∴ ( 2sinx + 1)(sinx - 1) = 0

∴ 2sinx + 1 = 0 ⇒ 2sinx = -1 ⇒ sinx = -1/2

* ∵ The value of sinx is -ve

∴ x is in the 3rd or 4th quadrant ⇒ According to ASTC Rule

- ASTC Rule: 1st all +ve , 2nd sin only +ve ,

3rd tan only +ve , 4th cos only +ve

* Let sinα = 1/2 where α is an acute angle

∴ α = π/6

∵ x is in 3rd or 4th quadrant

∴ x = π + α = π + π/6 = 7π/6 or

∴ x = 2π - π/6 = 11π/6

∴ sinx - 1 = 0 ⇒ sinx = 1

∴ x = π/2

∴ ALL values of x are π/2 , 7π/2 , 11π/2 if 0 ≤ x ≤ 2π

∴ 5π/2 it is not a solution for the given equation

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3 years ago

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3 years ago

The are of square frame is 55 square inches. find length of one side frame explain

dangina [55]

Answer:

$\sqrt {55}$ inches

Step-by-step explanation:

Let x inches be the length of one side of the frame. The frame is the square, so all sides have the same lengths.

Use formula $A=x^2\ in^2$ connecting the area of the square and the side length of the square.

Since the area ofthe square is 55 square inches, we have

$x^2 =55\\ \\x=\sqrt {55}\ in$

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3 years ago

What is 10 meters increased by 25%

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I believe that it's 12.5

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4 years ago

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What is the slope intercept form of y= -2

Mashcka [7]

The slope-intercept form: y = mx + b

(m - slope, b - y-intercept)

We have y = -2. It's the slope intercept form where m = 0 and b = -2.

y = -2 → y = 0x - 2

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3 years ago

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

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