SOLUTION: how do you find the discriminant of each quadratic equation then state the number and type of solutions of 14x^2-10x+21=14?

Question 174688: how do you find the discriminant of each quadratic equation then state the number and type of solutions of 14x^2-10x+21=14?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
---
find the discriminant of each quadratic equation then state the number and type of solutions of 14x^2-10x+21=14?
Rearrange:
14x^2 - 10x + 7 = 0
-----
a = 14 ; b = -10, c = 7
---
Discriminant: b^2 - 4ac = (-10)^2 -4*14*7 = -292
--------------------
Since the discriminant is negative, there are two Complex Number solutions.
---------
Note: If the discriminant had been zero, there would be one Real Number solution
of multiplicity 2.
If the discriminant had been positive, there would be two Real Number solutions.
==============================
Cheers,
Stan H.

RELATED QUESTIONS
how do you find the discriminant of each quadratic equation then state the number and... (answered by jim_thompson5910)

how do you find the discriminant of each quadratic equation then state the number and... (answered by Mathtut)

compute the discriminant. Then, determine the number and type of solutions for the given... (answered by nerdybill)

Compute the discriminant of the quadratic equation 3x^2+x+2=0 Then write a brief... (answered by jerryguo41,josmiceli)

Compute the discriminant of the quadratic equation 2x^2-3x � 5 = 0 and then write a... (answered by scott8148)

For the following equation, state the value of the discriminant and then describe the... (answered by jim_thompson5910)

Complete parts a-c for each quadratic equation a) find the value of the discriminant b) (answered by ankor@dixie-net.com)

Complete parts a-c for each quadratic equation a) find the value of the discriminant... (answered by jim_thompson5910)

Complete parts a-c for each quadratic equation a) find the value of the discriminant b) (answered by solver91311)