SOLUTION: I wasn't sure where to put this. Consider only the discriminant, b^2-4ac, to determine whether one real-number solutions, or two different imaginary-number solutions exist. x

Question 458756: I wasn't sure where to put this.
Consider only the discriminant, b^2-4ac, to determine whether one real-number solutions, or two different imaginary-number solutions exist.
x^2+3x+7=0
thanks for the help.
Answer by math-vortex(648) (Show Source): You can put this solution on YOUR website!
Begin by determining a, b, and c in your equation. The standard form for a quadratic equation is .
In your equation, a=1, b=3, and c=7. Evaluate using these values for a, b, and c. So,
Important Math Fact:
If (negative), then there are two imaginary-number solutions.
If (positive), then there are two real-number solutions.
If , then there is one real-number solution.
Your discriminant is negative, so you have two non-real (imaginary number) solutions.
*******
NOTE:
If you forget this math fact, think about the quadratic formula .
If the value under the square root is negative, then the solution cannot be a real number. If the value under the square root is positive, "+" or "-" after "-b" gives us two real number solutions. If the number under the square root is zero, then we just get one real-number solution, because the square root of zero is zero.
RELATED QUESTIONS
Consider the equation 4x^2 � 4x + 5 = 0. (i) Compute the discriminant, b2 � 4ac, and... (answered by Nate)

Consider the equation x2 � 4x + 29 = 0. (a) Compute the discriminant, b2 �... (answered by mananth)

Hope someone can help me with this. a. An financial advisor invested a total of... (answered by stanbon,Fombitz)

Use the discriminant to determine whether each quadratic equation has two unequal real... (answered by ikleyn,greenestamps)

b^2 - 4ac is called the discriminant of the quadratic equation. Consider: if b^2 -... (answered by stanbon)

I couldn't work letter C and #2, please assist. Please check the rest of the work and... (answered by yuendatlo,solver91311)

use the discriminant to determine whether(((x^2-6x=-15)))has one real solution, two real... (answered by ichudov)

The pare of the Quadratic formula,{{{b^2-4ac}}}that is under the radical is called the... (answered by jim_thompson5910)

In this question I need to use the �discriminant� to determine the number of solutions of (answered by jim_thompson5910)