SOLUTION: find the x-intercepts of the graph of f(x)=4x^2-9x+4

Algebra.Com
Question 972297: find the x-intercepts of the graph of f(x)=4x^2-9x+4

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
find the x-intercepts of the graph of f(x)=4x^2-9x+4
--------------
Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)
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=17 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 1.64038820320221, 0.609611796797792. Here's your graph:


RELATED QUESTIONS

Determine the x-intercepts of the graph of... (answered by ewatrrr)
f(x) = -x^2- 4x + 4 find the x... (answered by nerdybill)
Find the x intercepts of... (answered by Nate)
Solve {{{4x^2=12}}} Find the x-intercepts of... (answered by jim_thompson5910,janjan440)
Identify the vertex and intercepts of the graph f... (answered by tina_wood)
Find the x-intercepts of f(x) = 4x^2-4x+1 Thanks very... (answered by josgarithmetic)
Graph f(x)=x^4-4x^2 First find the x-intercepts then evaluate... (answered by jim_thompson5910)
graph the function using its vertex, axis of symmetry, and intercepts... (answered by josgarithmetic)
Solve 4x+x(x-2)=0 / The solution(s) is/are x=? Find the x-intercepts of... (answered by lynnlo)