SOLUTION: i. f(x)=x^2-4x+4 ii. f(x)=3x^2-4x^2+2

Algebra.Com
Question 632274: i. f(x)=x^2-4x+4
ii. f(x)=3x^2-4x^2+2

Answer by reviewermath(1029)   (Show Source): You can put this solution on YOUR website!
Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation (in our case ) has the following solutons:



For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=0 is zero! That means that there is only one solution: .
Expression can be factored:

Again, the answer is: 2, 2. Here's your graph:

Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation (in our case ) has the following solutons:



For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

The discriminant -8 is less than zero. That means that there are no solutions among real numbers.

If you are a student of advanced school algebra and are aware about imaginary numbers, read on.


In the field of imaginary numbers, the square root of -8 is + or - .

The solution is

Here's your graph:

RELATED QUESTIONS

F(x)=4x+2 (answered by Alan3354)
f(x)=4x^2=3x-1 (answered by chen.aavaz,Alan3354,MathTherapy)
Find f(2) given f(x)=... (answered by Cintchr,sdmmadam@yahoo.com)
35. f(x) = 4x^2+3x Find... (answered by oscargut)
f(x) = 4x^2+3x Find... (answered by Purple mathematician )
f(x)=4x/4x+2... (answered by fractalier)
F(x-2) if... (answered by ewatrrr,advanced_Learner)
Did I solve these right? 1. f(x)= -3x + 1 g(x)= -4x^2 + x + 2 Find g(f(x) )... (answered by solver91311)
f(x)=1/4x+2 (answered by Alan3354)