what are the variables for a qudratic equation
?
if i had the equation x^2+4X+3
x
a= b= c=
a = 1 b = 4 c = 3 the general form is ax + by + c
a=1 b=4 c=3
actually general form is \[ax^2+bx+c=0\]
ya sorry I've been working in different planes lately, mixed up my variables
thats what i thoght -x^2-x=4 find the discriminate but my textbook says the answer is -15
i get -17 2 complex not -15 2 imaginary what am i doing wrong
\[(-b \pm \sqrt{b^2-4ac})/2a\] as far as I remember, the part under the square root is your discriminate, which should be 16-12 = 4, which gives roots -1 and -3, complex numbers shouldn't play into this equation
no i worte that as a equation in the book
oh you're referring to -x^2 - x = 4, sorry my mistake, one second
yea
as far as i know if you get: Negative = 2 Complex Zero = 1 Real Positive = 2 Real
you should get \[(1\pm i \sqrt{15})/2\]
were do i use an imginary
how
first you bring everything over to one side so you're equation becomes x^2+x+4 = 0 then you plug it into the quadratic equation using a = 1, b = 1, c = 4
discriminanat is b^2 - 4ac = (-1)^2 - 4(-1)(-4) = 1 - 16 = -15 so the ans in the book is right !!!!
shouldent it be negative 4
discriminant is just value of b^2 - 4ac the formula u r using is for finding the roots in which the discriminant occurs as a part...
ya I just did the whole process, the discriminate is -15
in my calculator i forgot to put parenthesis on the one duh
-x^2-x=4 find the discriminate <---- This yr question???
but still shouldent it be 2 complex since it is a negative
writing in standard form it becomes -x^2 - x -4 = 0 so a = -1, b = -1 and c = -4 so b^2 - 4ac = (-1)^2 - 4(-1)(-4) = 1 - 4(4) = 1 - 16 = -15
the discriminate is everything under the square root, but not including the square root itself so no complex numbers
why r u taking its root????
discriminant is just value of b^2-4ac !!!
that's why I just said, everything UNDER the square root but NOT including the square root
of the quadratic equation
\[-x^2-x=4\] \[x^2+x+4=0\] \[b^2-4ac=1-16=-15\] that is the discriminant
that is what i have already told him....
i know the discrimnate but we also need to put what you will get, as far as i know if you get: Negative = 2 Complex Zero = 1 Real Positive = 2 Real our book says discriminnate -15 and 2 imaginary solutions
when do you put imaginary solutions
now when value of D >0 i.e positive, you get two distinct real roots when value of D=0, you get two equal roots, ie. one solution when value of D<0, i.e negative, you get two imaginary roots
you do have 2 imaginary solutions, the ones I initially stated, who's discriminate is -15
D means discriminant in your case D<0 i.e. negative so you will get two imaginary roots
ur roots are (-1+i*sqrt(15))/2 and (-1-i*sqrt(15))/2 which are both imaginary
so complex is the same as imaginary
complex and imaginary mean the same thing....
ya complex means imaginary
thanks
i is the imaginary number that only exists in the complex plane C, which was created for the purpose of handling the imaginary number :p
no problem, hope that wasn't too confusing
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