Solve by completing the square
x^2-2x-5=0

Answers

Answer 1
Answer: x^2-2x-5=0 \n x^2-2x+1-6=0\n (x-1)^2=6\n x-1=\sqrt6 \vee x-1=-\sqrt6\n x=1+\sqrt6 \vee x=1-\sqrt6

Related Questions

Three fifths is__________pieces of the whole
I NEED HELP on this
Find the slope of each line.
What is the solution of the system of equations? y = –3x + 8 y = –5x – 2
Which graph represents the function of f(x) = the quantity of 4 x squared minus 4 x minus 8, all over 2 x graph of 2 x minus 4, with discontinuity at negative 1, negative 6 graph of 2 x minus 4, with discontinuity at 1, negative 2 graph of 2 x plus 2, with discontinuity at negative 1, 0 graph of 2 x plus 2, with discontinuity at 1, 4 please and thank you

Factor the expression y2+6y-16

Answers

(Y+8)(Y-2)

Factoring by grouping is splitting middle terms into two appropriate terms. 
let us see the resulting expression below as we factor the expression -8x3-2x2-12x-3.

-8x3-2x2-12x-3
= 2x^2 ( -4x-1) 3 (-4x-1)
=(2x^2+3) (-4x-1)

the resulting expression after factoring -8x3-2x2-12x-3 by grouping is: 
(2x^2+3) (-4x-1)


The method factoring by grouping is widely used by college professors, teachers, students and even textbook authors.

what is the equation of y=x^3 with the transformation: vertical compression by a factor of 1/2, horizontal shift 7 units to the left, reflection across the x-axis?

Answers

Assuming the transformations are in order,
because S(x,y) = (x, 1/2y), reverse what is done to y and simplify,
y = x^3 > y = 1/2*x^3 to compress vertically,
because S(x,y) = (x-7,y), reverse what is done to x,
y = 1/2*(x+7)^3 to shift to the left,
reflection across the x-axis changes positives to negatives,
y = -1/2(x+7)^3 to reflect across the x-axis.

What is the exact area of a circle with a diameter of 18 feet

Answers

the exact answer is in the file below
Use the formula A= 3.14 (pi)r² 
*R is radius*

A=3.14(9)²

A=3.14(81)

A= 256.34

Hoped this helped.

~Bob Ross®

Arun has captured many yellow-spotted salamanders. He weighs each and then counts the number of yellow spots on its back. This trend line is a fit for these data. A. negative

B. weak

C. parabolic

D. strong​

Answers

Answer: D. Strong

Step-by-step explanation:

Correct on A P E X

Ignore the first answer

What is the equation of the line that passes through the point (-3,4) and has an undefined slope?

Answers

Answer: x = -3

Step-by-step explanation: If a line has an undefined slope, it means that the line is vertical. A vertical line is parallel to the y-axis and does not have a slope.

To find the equation of a vertical line, we need to know the x-coordinate of any point on the line. In this case, the point (-3,4) is given.

Since the line is vertical and parallel to the y-axis, the equation of the line will be in the form x = constant, where the constant is the x-coordinate of the given point.

Therefore, the equation of the line that passes through the point (-3,4) and has an undefined slope is x = -3.

Verify the identity. Justify each step. tan (thetA) + cot (thetA) = 1 / sin (thetA) cos (thetA)

Answers

The verification of the given identity i.e. an (thetA) + cot (thetA) = 1 / sin (thetA) cos (thetA) so it should be explained below.

Verification of the identity:

Since

theta = t

tan t + cot t = 1/ sin t cos t

Now

sin t / cos t + cos t / sin t = 1 / sin t cos t

So,

( sin² t + cos² t ) / sin t cos t = 1/ sin t cos t

And, finally

1/ sin t cos t = 1 / sin t cos t

Learn more about tan here: brainly.com/question/18437853

theta = t
tan t + cot t = 1/ sin t cos t
sin t / cos t + cos t / sin t = 1 / sin t cos t
( sin² t + cos² t ) / sin t cos t = 1/ sin t cos t
1/ sin t cos t = 1 / sin t cos t