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

find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

tap for more

y

=

−

2

find the upper bound of the range.

tap for more

y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

0

}

step-by-step explanation:

the answer is 99.