Question

i need help with 2x^2-x-6= 0 and y^2-6y+2=0 these are solving quadratic equations and i need the help quick please! need an easy explanation and i will give medal

Answer 1

Chill... I'll help u..

Answer 2

which method you wanto use

Answer 3

1. factoring
2. completing square
3. quadratic formula

Answer 4

pick one

Answer 5

pick one that you're familiar wid already

Answer 6

ok you have 2 questions here.
first question we will do by factoring. second we wil try completing square. okay ?

Answer 7

all 3 methods will give u same answer

Answer 8

2x^2-x-6= 0

Answer 9

-6*2 = -12

so we need to pick two numebers that multiply to -12, and addup to -1 (cuz middle term is -x)

Answer 10

can you pick the two numbers ?

Answer 11

will -4 and 3 work ?

Answer 12

lets see :-

-4*3 = -12
-4+3 = -1

Answer 13

exactly ! so these are our golden numbers for this problem

Answer 14

2x^2-x-6= 0

2x^2 -4x + 3x -6 = 0

Answer 15

i wrote -x as, -4x + 3x, which is legitimate

Answer 16

2x^2-x-6= 0

2x^2 -4x + 3x -6 = 0

Answer 17

tell me whats common in first two terms

Answer 18

i can take out 2x, eh ?

Answer 19

2x^2-x-6= 0

2x^2 -4x + 3x -6 = 0

2x(x-2) + 3x - 6 = 0

Answer 20

tell me whats common in last two terms ?

Answer 21

last two terms

Answer 22

2x^2-x-6= 0

2x^2 -4x + 3x -6 = 0

2x(x-2) + 3x - 6 = 0
^ ^

Answer 23

yes !

Answer 24

so take that out

Answer 25

correct !

2x^2-x-6= 0

2x^2 -4x + 3x -6 = 0

2x(x-2) + 3x - 6 = 0

2x(x-2) + 3(x-2) = 0

Answer 26

now do we see, (x-2) common in both terms ?

Answer 27

take that all the way out

Answer 28

2x^2-x-6= 0

2x^2 -4x + 3x -6 = 0

2x(x-2) + 3x - 6 = 0

2x(x-2) + 3(x-2) = 0

(x-2)(2x+3) = 0

Answer 29

we factored fully ! now to the answer

Answer 30

2x^2-x-6= 0

2x^2 -4x + 3x -6 = 0

2x(x-2) + 3x - 6 = 0

2x(x-2) + 3(x-2) = 0

(x-2)(2x+3) = 0

x-2 = 0, or 2x+3 = 0

x = 2, or 2x = -3

x = 2, or x = -3/2

Answer 31

those are the solutions of x

Answer 32

makes some sense ?

Answer 33

we are done.

Answer 34

i thought you were going to help me with both .. @ganeshie8

Answer 35

oh ya !!!

Answer 36

y^2-6y+2=0

Answer 37

continue brb

Answer 38

we will solve this by completing the square ok

Answer 39

ok

Answer 40

you can go, finish ur work, and come back. il be around :D

Answer 41

oh i had to look at a reply i got lol i need help

Answer 42

hmm..

Answer 43

people are still replying on my closed questions but im doing my work which is why i need help lol

Answer 44

@ganeshie8 so completing the square?