Solve the quadratic equation by completing the square. (Enter your answers as a comma-separated list.)x2 − 6x − 27 = 0

Answers

Answer 1

Answer: $x^2 - 6x - 27 = 0 \n \na=1, \ b=-6 , \ c= -27 \n \n \Delta =b^2-4ac = (-6)^2 -4\cdot1\cdot (-27) = 36+108 =144 \n \nx_(1)=(-b-√(\Delta) )/(2a)=(6-√(144))/(2 )=( 6-12)/(2)=(-6)/(2)=-3 \n \nx_(2)=(-b+√(\Delta ))/(2a)= (6+√(144))/(2 )=( 6+12)/(2)= (18)/(2)=9 \n \n \n Answer : \ x= -3 \ \ or \ \ x= 9$

Related Questions

Find the sum of the given polynomials.5m + 2n, n - 3m, and 7 - 3n7 - 2m2m + 714m + 5n - 69m
X2+4x+3=0 what is the quadratic
Marisa wants to buy a DVD player that costs$150. She already saved $80 and plans to save an additional $10 each week. Write an equation that represents this.
Ms. Chang has 24 students in her class, and 6 of them are boys. What is the ratio of boys to girls?
Pyramid ABCDE is a square pyramid.What is the lateral area of pyramid ABCDE ?

What is 6:12 in simplest form? A. 2:1 B. 1:2 C. 2 D. 12:6

Answers

Both can be divided by 6.

6/6 = 1

12/6 = 2

So 6:12 = 1:2

PLEASE HELP! I WILL MARK BRAINLIEST!!! What are the essential elements of an independent clause?

a subject and a complete thought
a subject, a verb, and a complete thought
a verb and a complete thought
a complete thought

Answers

Answer: A subject, a verb, and a complete thought.

Step-by-step explanation:

Independent clauses have three components:

They have a subject - they tell the reader what the sentence is about.

They have an action or predicate - they tell the reader what the subject is doing.

They express a complete thought - something happened or was said.

Step-by-step explanation:

A subject, a verb, and a complete thought

Use the substitution method to solve 3x-5y=-8 and x+2y=1

Answers

$\boxed{ \left \{ {{3x-5y=-8} \atop {x+2y=1}} \right.} \n \n x+2y=1\Rightarrow \boxed{x=1-2y} \n------------- \n \boxed{\left \{ {{3x-5y=-8} \atop {x=1-2y}} \right. } \n\n3(1-2y)-5y=-8 \n 3-6y-5y=-8\n\n3-11y=-8\n\n-11y=-8-3 \n \n -11y=-11y \n \n \boxed{y=1} \Rightarrow \boxed{x=-1}$

Find the interval on which the curve of y equals the integral from 0 to x of 2 divided by the quantity 1 plus 3 times t plus t squared, dt is concave up.

Answers

Hello,

$\frac{d^2( \int\limits^x_0 { (2)/(t^2+3t+1) } \, dt )}{dx^2} = (d((2)/(x^2+3x+1)) )/(dx) \n = (-2(2x+3))/((x^2+3x+1)^2)$

... the product of 86 and the depth of the river ... into variable expression

Answers

A variable expression is an expression that contains variables or letters in their simplest form. If we assign real values to the variables, then we can evaluate the variable expression for that real value.

Since we do not know the depth of the river, we assign a variable to it.

We let the variable $d$ , represent the depth of the river.

Then, the product of $86$ and the depth of the river $=86* d=86d$

product means multiplication either
86n
or

86*n which are the same thing

Maureen owns three bagel shops. Each shop sells 500 bagels per day. Maureen asks her store managers to use a random sample to see how many whole what bagels

Answers

Answer:

In complete questions, the completed question is in ask details

Step-by-step explanation:

Maureen has 3shops

Each sells 500bagels per day

shop A

Total bagels sample is 50 and 10 whole wheat bagels

Shop B

Total bagels sample is 100 and 23 Whole-wheat bagels

Shop C:

Total bagels sample is 25 and 7 Whole-wheat bagels.

It is noticed that the simple space of shop B is more than shop A, notice that shop B sample space is small and it can not give a reasonable valid inference.

Then, Both shop A and shop B sample space is large enough to give a reasonable valid inference

Other Questions

11. A line segment is different from a line in that a segment hasA. only one endpoint. B. no endpoints. C. two endpoints. D. an undefined length.

How do you know which operation to perform first when solving an equation?

Eli has $148 in the bank. He deposits $8 at the end of each week. Peyton has $260 in the bank. He withdraws $6 at the end of each week. How many weeks will it take for them to have the same amount in the bank?

Which is a factor of x^2 + 8x – 48?(x – 6) (x + 4) (x – 16) (x + 12)