SOLUTION: prove that the roots of the quadratic equation are real when the discriminant is real.

SOLUTION: prove that the roots of the quadratic equation are real when the discriminant is real.

Algebra.Com

Question 574282: prove that the roots of the quadratic equation are real when the discriminant is real.
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
If the discriminant is defined as b^2 - 4ac, then you cannot prove it (because it could be negative and you would have non-real roots). If it is defined as sqrt(b^2 - 4ac), then it would be a true statement because the roots of the quadratic would be fractions where both numerator and denominator are real.
RELATED QUESTIONS
Is the number 7 a discriminant of a quadratic equation whose roots are real, unequal, and (answered by stanbon)

If the discriminant of a quadratic equation is equal to zero how many real, distinct... (answered by rfer)

PRove that the roots of the given equation are real... (answered by ewatrrr)

9) If the roots of a quadratic equation are real, irrational, and unequal, which of the... (answered by Alan3354)

Calculate the discriminant to determine the number of real roots. y = x2 + 3x + 9... (answered by stanbon)

Let ax^2 + bx + c = 0 be a quadratic equation with no real roots and a,b > 0. Prove that (answered by ikleyn)

how many real solutions does a quadratic equation have when the discriminant is... (answered by venugopalramana)

use the discriminant to determine the number of real roots of each equation and then... (answered by TimothyLamb)

use the discriminant to determine the number of real roots of each equation and then... (answered by mananth)