Question

9x^2-6x+1=0
a) solve
b) find x-intercepts

Answer 1

3x-1^2

Answer 2

(3x-1)(3x-1)

Answer 3

x=-3/1

Answer 4

what are the solutions?
what are the intercepts?

Answer 5

9(-3)-6(-3)+1=y intercept

Answer 6

if everything was equal to y

Answer 7

okay
we can write this eq like this
9x^2-3x-3x+1=0

x=1/3 only one answer
as it has real and equal roots

for x intercept put y=0
it will give the same i believe
:P

Answer 8

no i have that backwards, its x=-1/3

Answer 9

it says types answers using radicals as needed

Answer 10

he's right except its a negative -1/3

Answer 11

no its not a negative its positive

Answer 12

9x^2-3x breaks down to 3x(3x-1)
so take (3x-1)(3x-1)

Answer 13

so its positive 3x-1=0 x=1/3

Answer 14

x=-1/3

Answer 15

3x-1=0
3x=1
x=1/3

Answer 16

express in terms of i

Answer 17

yea, but dont you have top take the opposite of that to equal 0

Answer 18

yea he's right

Answer 19

no radicals needed

Answer 20

please someone give me a straight answer this is my final exam limited time here

Answer 21

x=1/3

Answer 22

ok now find x-intercepts

Answer 23

there is only one x intercept and it's 1/3

Answer 24

the answer says to type as an ordered pair

Answer 25

I don't know, there is nothing indicating that there's a y coordinate

Answer 26

\[-(-6)\pm \sqrt{(-6)^2-4(9)(1)}\]
-----------------------------------------
2(9)

Answer 27

quadradic formula lol

Answer 28

6+\[6\pm \sqrt{0}\]
------------------
18

Answer 29

Simplifying
9x2 + -6x + 1 = 0

Reorder the terms:
1 + -6x + 9x2 = 0

Solving
1 + -6x + 9x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(1 + -3x)(1 + -3x) = 0

Subproblem 1Set the factor '(1 + -3x)' equal to zero and attempt to solve:

Simplifying
1 + -3x = 0

Solving
1 + -3x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + -3x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3x = 0 + -1
-3x = 0 + -1

Combine like terms: 0 + -1 = -1
-3x = -1

Divide each side by '-3'.
x = 0.3333333333

Simplifying
x = 0.3333333333
Subproblem 2Set the factor '(1 + -3x)' equal to zero and attempt to solve:

Simplifying
1 + -3x = 0

Solving
1 + -3x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + -3x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3x = 0 + -1
-3x = 0 + -1

Combine like terms: 0 + -1 = -1
-3x = -1

Divide each side by '-3'.
x = 0.3333333333

Simplifying
x = 0.3333333333Solutionx = {0.3333333333, 0.3333333333}

Answer 30

therefore x = 1/3

Answer 31

im sry but that is not the correct format

Answer 32

you are correct, x=1/3 (1/3,0)

Answer 33

:)