SOLUTION: What is the discriminant and how do you find it if you are given a quadratic equation? For instance, if you have -x² + 12 + 20 = 0, what would the discriminant be? How many solut

Algebra.Com
Question 475756: What is the discriminant and how do you find it if you are given a quadratic equation? For instance, if you have -x² + 12 + 20 = 0, what would the discriminant be? How many solutions would this equation have?

Found 2 solutions by rfer, Gogonati:
Answer by rfer(16322)   (Show Source): You can put this solution on YOUR website!
a=-1, b=12, c=20
the discriminant is the part under the radical sign.
(12^2)-4*-1*20=80+144=224
sqrt224=14.97
x=-1.5
x=13.5
two solutions

Answer by Gogonati(855)   (Show Source): You can put this solution on YOUR website!
The standard form of the quadratic equation is , where a, b, c
are real numbers and a is different from zero. The discriminant of the quadratic
equation is the expression If the quadratic
equation has two real roots. If the quadratic equation has one
real root, and if the quadratic equation has not real solution.
Example:For the equation the discriminant is:
12^2-4(-1)*20=144+80=224>0, this equation has two real roots.

RELATED QUESTIONS

How do you find a quadratic equation if you are only given the solution? Is it possible... (answered by stanbon,solver91311)
I couldn't work letter C and #2, please assist. Please check the rest of the work and... (answered by yuendatlo,solver91311)
How do you find a quadratic equation if you are only given the solution? Is it possible... (answered by richard1234)
How do you find a quadratic equation if you are only given the solution? Write a... (answered by galactus)
There are 3 question. 1.How do you know if a quadratic equation will have one, two,or no (answered by stanbon,vleith)
How do you know if a quadratic equation will have one, two, or no solutions? How do you... (answered by stanbon)
how do you know if a quadratic equation will have one, two or no solutions? If only given (answered by stanbon)
Please help. 1. If x = 1 and x = -8, then form a quadratic equation. I have no idea... (answered by jim_thompson5910)
How do you find a quadratic equation if you are only given the... (answered by nerdybill)