Question

What are the solutions to the equation?

x2−14x=15

Enter your answers in the boxes.

x = ____ and ____

Answer 1

Add 14 to 15 and what do you get?

Answer 2

misty this is not possibile bc. -14 is an x term

Answer 3

Oops. Wrong thing, sorry

Answer 4

like a first step substract from both sides 15

Answer 5

That's for regular equation

Answer 6

Add 14 to both sides right?

Answer 7

It's been a while since i've done these

Answer 8

misty, he's right D:

Answer 9

I know, I meant I was thinking of the way to do regular equations, sorry, I segmented it

Answer 10

Maggie do you understand ?

Answer 11

x^2 -14x -15 = 15-15

Answer 12

Put it in standard form then use quadratic equation

Answer 13

Yeah, I think

Answer 14

no

please make what i ve wrote above firstly

Answer 15

bc. after this step you will see that will can factorizing completly what will get

Answer 16

Maggie please collaborate

Answer 17

please continue

x^2 -14x -15 = 15 -15

Answer 18

Quadratic formula I meant

Answer 19

not is necessary use the quadratic formula here

Answer 20

Use this formula? x = −b ± √(b2 − 4ac)

Answer 21

x^2 -14x -15 = 0

do you know two numbers with sum equal -14 and product equal -15 ?

Answer 22

It would be 15 and -1, right?

Answer 23

not exactly

Answer 24

15-1 not equal -14

Answer 25

15-1 is +14

Answer 26

yes but you need getting -14 assuming these two numbers

Answer 27

courage Maggie this is easy

Answer 28

-14-1?

Answer 29

-13

Answer 30

misty how is this right ? you need getting -14

Answer 31

I meant -13-1

Answer 32

misty -14-1 = -15not -13

Answer 33

ok but the product need being -15

Answer 34

So -15 and -1?

Answer 35

how ?

-15-1 = -16

Answer 36

-13-1=-14

Answer 37

This is so confusing

Answer 38

misty ok but for product you need getting -15

Answer 39

-14-1=-15

Answer 40

product -15 and sum -14

Answer 41

x2−14x=15x2-14 x=15. Move 15 15 to the left side of the equation by subtracting it from both sides.

Answer 42

Alright, just to set some clarity here


jhonny is guiding you through factoring, which is an alternative to the quadratic equation

You want to find 2 numbers that multiply to -15 and add up to 14

The factors of 15 are (Factors: numbers that multiply to a specific one)
1,15

Now we know one has to be negative since 15 is negative

(x-)(x+)

Which numbers add up to -14? (one having to be negative)

1 and -15


Hence we should have

(x+1)(x-15)=0

Answer 43

Thx u

Answer 44

You should set each factor equal to 0 to find your zeroes

\(x\color{red}{\cancel{+1}}=0\) and \(x \color{red}{\cancel{-15}}=0\)
\(\color{red}{\cancel{-1}}~~\color{red}{-1}\) \(\color{red}{\cancel{+15}}~~\color{red}{+15}\)

Do the opposite of each number, (if it is adding, subtract; likewise if it is subtracting, add)

\(x= -1\) and \(x=15\)


Am late but was trying to get the latex through :c