SOLUTION: Find the roots of the quadratic function 12x = 4x^2 + 4

Algebra.Com
Question 1090196: Find the roots of the quadratic function 12x = 4x^2 + 4
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39618)   (Show Source): You can put this solution on YOUR website!
Answer by ikleyn(52793)   (Show Source): You can put this solution on YOUR website!
.
12x = 4x^2 + 4,

4x^2 - 12x + 4 = 0,

x^2 - 3x + 1 = 0,

 =  = .


The roots are    and  .

On quadratic formula for solving quadratic equations see the lessons
    - Introduction into Quadratic Equations
    - PROOF of quadratic formula by completing the square
in this site.


Also, you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this textbook under the topic "Quadratic equations".


RELATED QUESTIONS

Find all of the roots:... (answered by ewatrrr)
Find the roots of the quadratic equations using the quadratic formula. Express the... (answered by fractalier)
12x^2+7x-12 Factor the quadratic espression completely, and find the roots of the... (answered by solver91311)
12x^2+7x-12 Factor the Quadratic expression completely find the roots of the... (answered by stanbon,solver91311,ewatrrr)
factor the quadratic expression completely, and find the roots of the expression.... (answered by w_parminder)
Find the roots of each equation using the quadratic formula.... (answered by mananth)
find the roots of each equation using the quadratic formula.... (answered by Edwin McCravy)
find the rational roots of the equation... (answered by richwmiller)
Find the vertex, the line of symmetry, the maximum or minimum value of the quadratic... (answered by nerdybill)