Ask question

Ask question

All categories

3 years ago

5

Solve 5x^2-4x-2=0 by completing the square

1 answer:

konstantin123 [22]3 years ago

5 0

Answer:

Hello

Here's the answer:

2x^2 + 5x + 2 = 0\\
2x^2+4x+x+2=0\\
2x(x+2)+1(x+2)=0\\
(2x+1)(x+2)=0\\
x=-\frac{1}{2} \vee x=-2

x^2-4x+1=0\\
x^2-4x+4-3=0\\
(x-2)^2=3\\
x-2 =\sqrt3 \vee x-2=-\sqrt3\\
x=2+\sqrt3 \vee x=2-\sqrt3

Step-by-step explanation:

You might be interested in

What is the equation, in point-slope form, of the line that is perpendicular to the given line and passes through the point (2,

vekshin1

Answer:

all work is shown and pictured

7 0

3 years ago

Read 2 more answers

What's equivalent to 16/3

Yakvenalex [24]

5 1/3 or 5.333 (repeating)

4 0

3 years ago

Read 2 more answers

18. Determine the common difference, the fifth term, and the sum of the first 100 terms of the following sequence:

Ksenya-84 [330]

$a_1=1,\ a_2=2.5,\ a_3=4,\ a_4=5.5,\ ...\\\\a_2-a_1=2.5-1=1.5\\a_3-a_2=4-2.5=1.5\\a_4-a_3=5.5-4=1.5\\a_{n+1}-a_n=1.5=constans\\\\\text{It's an arithmetic sequence with}\\a_1=1,\ \boxed{d=1.5}\\\\a_n=a_1+(n-1)d\to a_n=1+(n-1)(1.5)=1+1.5n-1.5\\\\a_n=1.5n-0.5\\\\a_5=1.5(5)-0.5=7.5-0.5=7\\\boxed{a_5=7}\\\\\text{The formula of a Sum of the First n Terms of an Arithmetric Sequence:}\\\\S_n=\dfrac{2a_1+(n-1)d}{2}\cdot n\\\\\text{We have:}\\a_1=1,\ d=1.5,\ n=100\\\\\text{Substitute}$

$S_{100}=\dfrac{(2)(1)+(100-1)(1.5)}{2}\cdot100=\dfrac{2+(99)(1.5)}{1}\cdot50\\\\=(2+148.5)\cdot50=150.5\cdot50=7,525\\\\\boxed{S_{100}=7,525}\\\\Answer:\\the\ common\ difference:\ d=1.5\\the\ fifth\ term:\ a_5=7\\the\ sum\ of\ first\ 100\ terms:\ S_{100}=7,525$

8 0

3 years ago

The coordinates of the vertices of quadrilateral ABCD are A(−4, −1), B(−1, 2), C(5, 1), and D(1, −3).

serg [7]

Answer:

Sorry this is late, but it could help future people. Answers are in the picture.

Step-by-step explanation:

I took the quiz. :)

3 0

3 years ago

Read 2 more answers

I need help! I forgot how to do this problem

Nataly [62]

Answer:

C.

Step-by-step explanation:

8 0

3 years ago