SOLUTION: What are the solutions of: x=15x^2-6?

Question 253097: What are the solutions of: x=15x^2-6?
Found 2 solutions by Alan3354, checkley77:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
What are the solutions of: x=15x^2-6
15x^2 - x - 6 = 0

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=361 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 0.666666666666667, -0.6. Here's your graph:

Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
x=15x^2-6
15X^2-X-6=0
(5X+3)(3X-2)=0
5X+3=0
5X=-3
X=-3/5 ANS.
3X-2=0
3X=2
X=2/3 ANS.

RELATED QUESTIONS
what are the real values of x that are solutions for the inequality |x-2|_<... (answered by Theo)
What are the solutions of... (answered by edjones)
what are the solutions of the quadratic equation x power of 2 +5x=-6 (answered by solver91311)
what are the solutions of the equation x^2+5x+6=0 (answered by mananth)
What are the two real solutions to... (answered by josgarithmetic)
what are the x-intercept of this equation... (answered by Theo)
What are the solutions to the... (answered by robertb)
What are the solutions of 12 � x^2 = 0? x = and x = x = and x = x = and x = x = (answered by Alan3354)
What are the solutions for x? in:... (answered by Alan3354)