Solve the equation by completing the square. Round to the nearest hundredth if necessary. x2 – 3x – 3 = 0

Answers

Answer 1
Answer:

x² – 3x – 3 = 0

First, add 3 to both sides

x² – 3x – 3 (+3)= 0 (+3)

x² – 3x = 3

Solve for a. 2ax = -3x; a = -3/2

x² - 3x + (-3/2)² = 3 + (-3/2)²

Simplify

x² - 3x + (-3/2)² = 21/4

Complete the square

(3 - 3/2)² = 21/4

solve:

x - 3/2 = √(21/4); x = (√21 + 3)/2

x - 3/2 = -√(21/4); x = ((-√21) + 3)/2

Answers:

x = ((√21) + 3)/2 & x = ((-√21) + 3)/2

hope this helps

Answer 2
Answer:

Hello!

I believe the answer is X = -0.79, 3.79.( rounded to nearest hundredth )

I hope it helps!


Related Questions

Can you please explain how you write 0.5 in words?
My grade is 92 if an assignment is worth 40% of my grade what will my grade be if I got a 0, 25, and a 50?There are no answer choices so don't ask. And I need serious accurate answers if you don't answer correctly or properly I will report you!
Which is a point 6units to the left of 4
In the figure GHF =AEHD. Which statement is true by CPCTC?
The LCM of 4 and 7 is ______.

Which equation has solution x = -3?A) 2x -7 = -1
B) 3x+ 8 =1
C)1/2x+8=10
D)1/2(2x-6)=-6

Answers

A)2x -7 = -1 
2x=-1+7
2x=8
x=4

B)3x+ 8 =1
3x=1+8
3x=9
x=3

C) 1/2x+8=10
1/2x=10-8
1/2x=2
x=1

D)
(1)/(2) (2x-6)=-6 \n \n (2x)/(2) - (6)/(2)=-6 \n \n (2x)/(2) - (6)/(2)=-12 \n \n 2x-6=-12 \n \n 2x=-12+6 \n \n 2x=-6 \n \n \boxed{x=-3}


How do you use elimination to solve a system of equations?

Answers

Step 1;
Choose a variable to eliminate
Step 2; Multiply the first equation with the co efficient of variable you want to eliminate in equation;
Step 3:
Repeat the same for equation 2;
Step 4;
Add up or subtract the equations to eliminate the variable;
solve for remaining variable;
Replace the constant from above step in one of the original equations and solve appropriately.

Janelle had a 45%-off coupon for a new tablet. The sale price of the tablet was $115.25. What was the original price of the tablet? Round to the nearest cent.

Answers

Answer: $209.55

Explanation: We know this because 45% off means it was at 55% of its value. 55% = .55, so we can divide the sale price by the percent of its value. 115.25 / .55 ~=~ (is around) 209.55. The answer is $209.55.

Final answer:

The original price of the tablet, before the 45% off was applied, was approximately $209.54.

Explanation:

To find the original price of the tablet, we have to understand that the 45% off coupon reduced the price to $115.25, which represents 55% (100% - 45%) of the original price. Hence, we can set up the maths, using the principle of the proportion as follows:

55/100 = $115.25/ORIGINAL PRICE

Cross multplying the fractions and dividing, gives us the original price:

ORIGINAL PRICE = (100 * $115.25)/ 55 = $209.54 rounded to the nearest cent.

So, the original price before the discount was applied should have been approximately $209.54

Learn more about percentage calculation here:

brainly.com/question/32197511

#SPJ3

I’m having trouble with this one as well

Answers

The answer here would be

x = 21, y = 25

Help please
Calculate the product of 8/15, 6/5, and 1/3.

Answers

To find this answer, multiply the numerators across: (8 x 6 x 1) = 48, and the denominators in the same fashion: (15 x 5 x 3) = 225. This gives a non-reduced fraction of 48/225, which, when reduced by 3s, gives a product of 16/75.

imagine, in a given community, 20% of people above 60 years old have heart disease. if we randomly choose 10 people above 60 years old, exactly how many of them will have heart disease?

Answers

Answer:

2

Step-by-step explanation:

cause 20 percent of 10 is 2 lol