Practice30 Create account

If $b^{2} - 4 a c$ for $a x^{2} + b x + c = 0$ (a, $b, c$ rational) is positive
but NOT a perfect square, the roots are:

Class 10The Quadratic FormulaAlgebra — Quadratics

Areal, distinct and irrational
Breal, distinct and rational
Creal and equal
Dnot real

Step-by-Step Solution

D > 0

gives distinct real roots; since

D

is not a perfect square,

D

is irrational, so the roots are irrational.

Answer: A) real, distinct and irrational

Master this chapter in 30 minutes a day.

Don't just memorise the answer — build a daily practice habit.

Practice 5 Similar Questions Free →

All The Quadratic Formula practice questions

More Class 10 The Quadratic Formula practice

Solve abx^2 + (b^2 - ac) x - bc = 0 for x using the quadratic formula (a, b, c are…The diagonal of a rectangular field is 60 m more than the shorter side. The longer side…Solve x(x + 3) = 10 by the quadratic formula. The roots are:To solve 2x^2 - 5x + 2 = 0, a student writes x = 5 ± √25 - 162. What is wrong with this…Solve 0.2x^2 - 0.6x + 0.4 = 0 using the quadratic formula.