1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
vesna_86 [32]
3 years ago
6

The roots of x 2 - 2x - 2 = 0 are 1±√3 1±√12 no real roots

Mathematics
1 answer:
sertanlavr [38]3 years ago
7 0

Answer:

1±√5

Step-by-step explanation:

\bf x^2-2x-2=0\Rightarrow x=\displaystyle\frac{-(-2)\pm\sqrt{(-2)^2-4*2*(-2)}}{2}\Rightarrow\\\\\Rightarrow x=\displaystyle\frac{2\pm\sqrt{4+16}}{2}=\displaystyle\frac{2\pm\sqrt{20}}{2}=\displaystyle\frac{2\pm2\sqrt{5}}{2}\Rightarrow\\\\\Rightarrow \boxed{x=1\pm\sqrt{5}}

You might be interested in
Find the equation of the line perpendicular to the<br> given line through the point (1,9). y=1/3x+5
Ivan

Slope-intercept form:  y = mx + b

(m is the slope, b is the y-intercept or the y value when x = 0 --> (0, y) or the point where the line crosses through the y-axis)

For lines to be perpendicular, their slopes have to be the negative reciprocal of each other. (Basically flip the sign +/- and the fraction[switch the numerator and the denominator])

For example:

Slope = \frac{1}{3}

Perpendicular line's slope = -\frac{3}{1}  or  -3

Slope = -2 or -\frac{2}{1}

Perpendicular line's slope = \frac{1}{2}

y=\frac{1}{3} x+5    The given line's slope is \frac{1}{3}, so the perpendicular line's slope is -3. Now that you know the slope, substitute/plug it into the equation:

y = mx + b

y = -3x + b    To find b, plug in the point (1, 9) and isolate/get the variable "b" by itself in the equation

9 = -3(1) + b      Add 3 on both sides to get "b" by itself

9 + 3 = -3 + 3 + b

12 = b

y = -3x + 12

3 0
3 years ago
Read 2 more answers
While shopping at Walmart, I had the option to buy either a 12 pack of Soda for $13, or I could buy a 24 pack for $24. Based on
ira [324]

Answer:

The 24 pack for 24 dollars!

Step-by-step explanation:

This is because you see that 12 is 1/2 of 24 and if you do 13x2 you get 26$ so for the 12 pack if you double it you will be paying 2$ more than if you got the OG 24 pack

8 0
3 years ago
Read 2 more answers
Mary states, "If the diagonals of a parallelogramare congruent, then the
slava [35]

Answer:

True

Step-by-step explanation:

A rectangle is a plane figure with congruent length of opposite sides. Considering a rectangle ABCD,

AD ≅ BC (opposite side property)

AB ≅ CD (opposite side property)

<ABC = <BCD = <CDA = <DAC = 90^{0} (right angle property)

Thus,

<ABC + <BCD + <CDA + <DAC = 360^{0}

AC ⊥ BD (diagonals are perpendicular to each other)

AC ≅ BD (congruent property of diagonals)

Therefore, the parallelogram is a rectangle.

4 0
3 years ago
What is the Difference is between the long time and shortest time students spent riding on the bus
lisabon 2012 [21]
The longest is 4/6 of a hr and the shortest is 1/6 of a hr
Subtract -3/6 hr
4 0
4 years ago
Read 2 more answers
Find the value of x if DE is a midsegment
DerKrebs [107]

Answer:

It is a segment connecting the midpoints of two sides of a triangle. It is always parallel to the third side, and the length of the midsegment is half the length of the third side. As shown in the triangle given below. Therefore the value of x is 15

5 0
3 years ago
Other questions:
  • Find the measure of an exterior angle of a decagon
    7·1 answer
  • "This might be a treasure map!" he exclaims as he flips it over, revealing a clue: \qquadP. Point. 673673673 paces \qquadS. Cove
    13·1 answer
  • A natural number is ____ a rational number
    7·1 answer
  • If two angles are supplementary, their sum equals
    8·1 answer
  • Maria and her two sisters went to dinner at a diner. The total bill came to $54.75, including the tip. If they divide the bill e
    14·2 answers
  • PLEASE HELP NEED THIS ONE TO PASS ALGEBRA
    9·1 answer
  • Iberia’s phone bill was $69.90 in August. The phone company charged a flat fee of $29.95 for line use. Taxes and other fees tota
    9·2 answers
  • I need help on both of these ASAP PLEASE​
    10·2 answers
  • Y=-2x + 1<br> What is the value of y? (-5,___)
    13·1 answer
  • To make a cleaning solution, George mixes 3 cups of water to 4 drops of cleaner. Which table best represents the ratio of the cl
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!