Question

How to solve
y = x^2 - 2x - 6
y = 4x + 10

Answer 1

I know that I should make them equal to each other:

x^2 - 2x - 6 = 4x + 10

Answer 2

correct and then combine like terms (set the equation equal to zero)
as you can see highest exponent is 2 so it's a quadratic equation

Answer 3

x^2 - 6x + 4 = 0 ?

Answer 4

x^2 - 6x + 4 = 0
x^2 - 6x + 4 - 4 = 0 - 4
x^2 - 6x + (-6/2)^2 = -4 + (-6/2)^2
x^2 - 6x + 9 = -4 + 9
x^2 - 6x + 9 = 5
(x - 3)^2 = \(\sqrt{5}\)

Answer 5

\[x^2-6x-16=0\]

Answer 6

hmm no its not x^2-6x+4=0
10 is positive at right side how would you move that to the left ? subtract or add ?

Answer 7

\[\large\rm x^2 - 6x \color{reD}{ - 6 }=\color{Red}{+ 10}\]

Answer 8

Oh okay. I wrote the question wrong in my paper. but the question posted here is correct .

Answer 9

x^2 - 6x - 16 = 0

Answer 10

correct now factor it

Answer 11

ok

Answer 12

\((x - 3)^2 - 5\)

Answer 13

sorry \((x-3)^2 = 5\)

Answer 14

\[x^2 - 6x - 16 = 0 \]
factor it in order words solve for x
you don't need to complete the square
use quadratic formula or AC method
what two numbers would you multiply to get the product of AC
same two numbers should be add up to b (coefficient of x term)

Answer 15

i got (x-8)(x+2)

Answer 16

-8 times 2 = -16 correct
-8+2 = -6
good now set both parentheses equal to zero then solve for x

Answer 17

x = 8
x = -2

Answer 18

It's very important that you check you "solutions" by substituting each, one at a time, into the original equations. Do you obtain the same ' y ' value in each case?

Answer 19

looks good now pick your fvt equation (doesn't matter first or 2nd) substitute x for each value to find y

Answer 20

ok

Answer 21

ye. to double check you should use both equation to find y.

Answer 22

so i would do
8^2 - 2(8) - 6
64 - 16 - 6
42

Answer 23

looks good . thanks for postin the work:=))

Answer 24

what would i do with 4x + 10?

Answer 25

@Nnesha

Answer 26

you have 2 x value substitute each x to get the y
you can use 2nd equation like i said doesn't matter which one you pick you will get the same answer

y=x^2-2x-6 when x = 8 y = ? when x=-2 y = ?
OR
substitute 8 and -2 into the 2nd equation for x
y=4x+10

Answer 27

oh okay. i got it.

so i will get two coordinates right?

Answer 28

yes correct.

Answer 29

okay thanks!