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Mathematics 11 Online
Nicole:

http://prntscr.com/l4zky7

Nicole:

@Vocaloid

dude:

You're trying to set it equal to 0, do you know how to do that?

Nicole:

im not sure

dude:

Add 1 on both sides

Nicole:

dont we have to find what a,b, and c is?

dude:

Yes but that is only true when it is equal to 0

Nicole:

so -2x+1 and -1+1?

dude:

Right, but you cant really add it to the left side so it remains as a constant \(x^2-2x+1=0\)

dude:

Now you find the a,b and c

Nicole:

a=1 b=-2x c=1 ?

dude:

Close, there arent x values for the a,b,c a = 1 b = -2 c = 1

Nicole:

so 1^2-(-2)+1

dude:

Are you trying to find the discriminant?

Nicole:

yes

dude:

Discriminant = \(b^2-4ac\)

Nicole:

-2^2-4*1*1

dude:

Yes

Nicole:

got it how about this one http://prntscr.com/l4ztnz

Nicole:

@dude

Nicole:

@Vocaloid

Vocaloid:

Well if we want two solutions hen thand discriminate b^2 - 4ac must be positive So pick a large value for b and a small value for 4ac and check to see that the values you picked give a positive discrimination

Nicole:

so 5^2-4*2*3

Nicole:

it equals 1

Nicole:

and 1 is positive

Nicole:

is this right http://prntscr.com/l504oy @Vocaloid

Vocaloid:

almost the equation is b^2 - 4ac so b = 5, while a = 2 and c = 3 the way you've written it it also asks for the quadratic equation so you'd plug in your a, b, and c into ax^2 + bx + c and just give them the final equation

Nicole:

got it http://prntscr.com/l505rg

Vocaloid:

one real number solution means the discriminant must be 0 so try picking a, b, and c such that b^2 - 4ac = 0

Nicole:

would the first one be like this 2x^2+5x+3

Vocaloid:

yes

Nicole:

it would be http://prntscr.com/l50822

Nicole:

and for the second one can you give me an example? @Vocaloid

Nicole:

@Vocaloid

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