MATHEMATICS HIGH SCHOOL

Use the method of completing the square to transform the quadratic equation into the equation form (x – p)^2 = q. 12 - 8x^2 + x^4 = 0

A) (x2 - 4)2 = -4

B) (x2 - 4)2 = 4

C) (x2 - 2)2 = -4

D) (x2 - 2)2 = 4

Answers

Answer 1
Answer:                              x⁴ - 8x² = 0
                     x⁴ - 8x² + 16 = 0 + 16
             x⁴ - 4x² - 4x² + 16 = 16
x²(x²) - x²(4) - 4(x²) + 4(4) = 16
           x²(x² - 4) - 4(x² - 4) = 16
                   (x² - 4)(x² - 4) = 16 
                            (x² - 4)² = 16

The answer is B.

Related Questions

HIGH SCHOOL

How does the graph of g(x)=1/x-5+2 compare to the graph of the parent function f(x)=1/x?

Answers

The equation that is given in this item can be written for clarity as follows:
                        g(x) = 1/(x - 5)  + 2
It can be seen that the x-component is subtracted with 5 and the g(x) which would lie in the y-axis is added with two. This suggests that the graph of this equation is shifted to the right by 5 units and upwards by 2 units compared to the graph of the parent function. 

The graph of g(x)=1/x-5+2 compare to the graph of the parent function f(x)=1/x.

Given: g(x)=1/x-5+2 , Parent function is f(x)=1/x

The equation that is given in this item can be written as follows:

                   

We can check that the component of x is subtracted with five & the g(x) which lies in the y-axis after will added with two.

This gives solution of that the graph of the equation is Shifted to right side by 5 units & upwards by 2 units which is compared to the graph of the parent function.

Learn more about statement questions here:brainly.com/question/4070547

MIDDLE SCHOOL

1.2.6 1-118 Find each sum.

A. 3/5 + 1/3

B. 5/7 + 1/2

C. 1/6 + 2/8

Answers

A.) 14/15 B.) 17/14 C.) 5/12
HIGH SCHOOL

It takes beth 15 min. to walk to school, 1/2 mile away. what is her walking pace?

Answers

15 minutes = 1/2 a mile
30 minutes = 1 mile
60 minutes = 2 miles

She is walking 2 miles per hour.
HIGH SCHOOL

Solve this system of equations using any method. 3x – y = 4 x + 2y = 13

Answers

3x-y=4
x+2y=13
elimination
multiply first equation by 2 and add to second
6x-2y=8

6x-2y=8
x+2y=13 +
7x+0y=21

7x=21
divide 7
x=3
sub
x+2y=13
3+2y=13
minu 3
2y=10
divide 2
y=5

x=3
y=5
(3,5)
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