SOLUTION: Find the discriminant and state the nature of the roots: -6x^2-3x+2=0 and x^2+6x=0 I don't understand what the question is saying.

Question 147845: Find the discriminant and state the nature of the roots: -6x^2-3x+2=0 and x^2+6x=0
I don't understand what the question is saying.
Answer by nabla(475) (Show Source): You can put this solution on YOUR website!
The discriminant comes from the quadratic formula. It is what is under the root.

This is for form ax^2+bx+c=f(x)
So, now just determine b^2-4ac given each equation.
9-4(-6)(2)=9+48=57. Because 57>0, we will have 2 real roots due to the quadratic formula's +/-.

Now for the second equation.
36. Because 36>0, we will have 2 real roots due to the quadratic formula's +/-.
I will tell you what happens in all other cases.
If discriminant<0 we will have 2 imaginary roots.
If discriminant=0 we will have 1 real root. These follow because of what happens with the root by definition.
RELATED QUESTIONS
Find the discriminant and nature of the roots given the equation x^2 - 6x + 5 =... (answered by solver91311)

discriminant to determine the nature of the roots of x^2 + 2x + 5 = 0 discriminant to... (answered by richard1234)

find the value of the discriminant and nature of the solutions.... (answered by solver91311)

compute the discriminant and determine the nature of the solutions. 5x^2 + 6x - 3 = 0 (answered by aditya2117)

For the following equation, state the value of the discriminant and then describe the... (answered by lynnlo)

State the value of the discriminant and then describe the nature of the solutions... (answered by jim_thompson5910)

What is the standard form, discriminant and nature of the roots of the equation 1/x - x/6 (answered by ikleyn)

tell the nature of the solution by using the discriminant and then solve to find the... (answered by josgarithmetic,ikleyn,MathTherapy)

g(x)=6x+12 f(x)=2X+3 Question: 1. Find the (f o g) (x)+X^2 2. Set the... (answered by stanbon)