SOLUTION: Which describes the number and type of roots of the equation x^2 + 121x = 0 a) 1 real root, two imaginary roots b) 2 real roots. 1 imaginary roots c) 3 real roots d) 3 imagin

Question 296641: Which describes the number and type of roots of the equation x^2 + 121x = 0
a) 1 real root, two imaginary roots
b) 2 real roots. 1 imaginary roots
c) 3 real roots
d) 3 imaginary roots
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
This quadratic equation has 2 real roots 0 and -121
Imaginary roots always come in pairs.
So b and d are out
I have already shown two real roots so a is out
The only possible answer among the choices is c
but a quadratic (x^2) can have a maximum of 2 roots.
So none of the choices are correct. There must be a misprint in the choices or the problem.

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=14641 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 0, -121. Here's your graph:

RELATED QUESTIONS
Which describes the number and type of roots of the equation x^2 + 121x = 0 a) 1 real... (answered by richwmiller)

Which describes the number and type of roots of the equation x^2 - 625 = 0? a. 1 real (answered by checkley77)

State the number of complex roots, imaginary roots, and real roots: -2x^6 � x^2 + x � 7 (answered by Fombitz)

what is the number of complex roots, real roots and imaginary roots for this equation,... (answered by solver91311)

The nature of the roots of the equation 3x^4 + 4x^3 + x - 1 = 0 is _____. A. Three... (answered by MathLover1,greenestamps)

Find the descriminate of y = x^2 - 6x + 9 and decribe the nature of the roots. a. -6;2 (answered by Alan3354)

f(x)=x^5-6x^4+11x^3-2x^2-12x+8 has (x-2) as a factor determine which one of the... (answered by MathLover1,Edwin McCravy)

Find all real and imaginary roots for the polynoial equation x^(2)+1=0. Thank... (answered by jim_thompson5910)

With the polynomial: f(x) = 5x^3 + 8x^2 -4x + 3 a. The Fundamental Theorem of Algebra (answered by solver91311)