1) given x^4 + 95x^2 - 500
2) split in two factors with common factor term x^2: (x^2 + )(x^2 - )
3) find two numbers that add up 95 and their product is - 500:
=> 100*(-5) = - 500 and 100 - 5 = 95
=> (x^2 + 100)(x^2 - 5)
4) factor x^2 - 5 = (x + √5) (x - √5)
5) write the prime factors: (x^2 + 100) (x + √5) (x -√5)
6) find the solutions:
x^2 + 100 = 0 => not possible
x + √5 = 0 => x = - √5
x - √5 = 0 => x = √5
Answer: x = √5 and x = - √5
Answer:
1. y = -11/4; (-2, -11/4)
2. y = -1; (0, -1)
3. y = -1/8; (1, -1/8)
4. y = 0; (8/7, 0)
5. y = 3/4; (2, 3/4)
Step-by-step explanation:
I'm going to take a guess that you are wanting to convert 6.25 radians to degrees. If I'm wrong, then ignore this! Use the fact that 1 radian = 57.2958°. Using the factor label method of conversion, we have

. The radian label cancels leaving us with degrees. 6.25*57.2958=358.09°
Answer:

Option "B" as per the list of possible answers
Step-by-step explanation:
Notice that the parabola has a minimum at the point (2, 1), therefore first look at which of the options gives you
. You would be able then the discard the last two functions listed (they render "-1" (not 1) for x = 2.
Now to decide between the first and the second option, notice that the first option has a negative coefficient (-0.2) multiplying the perfect square
which means that the branches of such parabolic function would be pointing down. So you discard the first option, and now the only one left is the second option:

which you can check briefly by evaluating a couple of easy points (like what values you get for x = 0, and at x = 4, and confirm it is the correct option.