Question

You are taking a test on quadratic equations and you can't decide which method would be the fastest way to solve a particular problem. How could looking at a graph of the equation on a calculator help you decide which method to use?

Answer 1

@mathmale please help me

Answer 2

@triciaal may you please help

Answer 3

@ganeshie8

Answer 4

I am guessing to look at x-axis and if its whole number you can use all methods easily, but if its not a whole number I would have to use some method?

Answer 5

*specific method

Answer 6

I am not sure which though.

Answer 7

If it cuts the x axis at whole numbers, then `factoring` may be the fastest method

Answer 8

Oh wow your so good at this.

Answer 9

May I ask more?

Answer 10

If it doesn't cut the x axis at all, you may use completing the square or quadratic formula

Answer 11

Yup, or the perfect square if its perfect.

Answer 12

If it cuts the x axis at non-whole numbers, factoring may not be the best idea

Answer 13

alrighty that makes sense. :)

Answer 14

How should you determine a method for solving a quadratic equation?

Answer 15

However, factoring works perfectly fine for rational roots

Answer 16

yea

Answer 17

by graphing?

Answer 18

If I just have a quadratic equation and no graph,
I'd just try to factor it first. If factoring doesn't work, I use the quadratic formula.

Answer 19

Aha that makes sense!

Answer 20

may you help me on some equations I need answered step by step so that I can do the rest?

Answer 21

I'll try, post

Answer 22

know your numbers factor first when possible

Answer 23

yup

Answer 24

I got the basics I think

Answer 25

Ok 2(x+2)^2-5=3

Answer 26

I added 5 to the right

Answer 27

then I divided the two over to the right side.

Answer 28

then I rooted both numbers