Solve x^2-4x+10=0 by completing the square.

No real solutions.

Step-by-step explanation:

Let's solve your equation step-by-step.

x^2 − 4x + 10 = 0

Step 1: Subtract 10 from both sides.

x^2 − 4x + 10 − 10 = 0 − 10

x^2 − 4x = − 10

Step 2: The coefficient of -4x is -4. Let b=-4.

Then we need to add (b/2)^2=4 to both sides to complete the square.

Add 4 to both sides.

x^2− 4x + 4 = −10 + 4

x^2− 4x + 4 = −6

Step 3: Factor left side.

(x−2)^ 2 = −6

Step 4: Take the square root.

x − 2 = ± √−6

Step 5: Add 2 to both sides.

x − 2 + 2 = 2 ± √−6

x = 2 ± √−6

So Therefore The Answer Is:

No real solutions.

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1. sometimes

2.   never

3   .08c = 7.50+.05c   250 pages

step-by-step explanation:

1.   sometimes

the theoretical probability of rolling a 1 is 1/6.   perhaps you got really lucky and never rolled a 1   in those 60 times.   your experimental probability is 0.   or perhaps you rolled a 1   20 times.   your experimental probability is 20/60 is 1/3.     it really just depends on how you rolled in that experiment.

2.   never

the probability of the event occurring is 1.   that is being 100 % sure it will happen.   that is the maximum amount of confidence we have.

3.   no customer card cost:   .08 times number of pages

customer card cost:   7.50 + .05 times number of pages

we want to find when it costs the same amount, so we will set these equal

let c = number of pages

.08c = 7.50+.05c

subtract .05c from each side

.08c-.05c = 7.5+.05c-.05c

.03c=7.5

divide each side by .03

.03c/.03 = 7.5/03

c =250  

the cost is the same at 250 pages