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India
Class X

Discriminant of a quadratic

Interactive practice questions

Below is the result after using the quadratic formula to solve an equation.

$x=\frac{10\pm\sqrt{-1}}{8}$x=10±18

The equation has two real solutions.

A

The equation has one real solution.

B

The equation has no real solution.

C
Easy
< 1min

How many real solutions are there to the equation $x^2=9$x2=9?

Easy
< 1min

How many real solutions are there to the equation $\left(x-7\right)^2=0$(x7)2=0?

Easy
< 1min

How many real solutions are there to the equation $\left(x-6\right)^2=-2$(x6)2=2?

Easy
< 1min
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Outcomes

10.A.QE.1

Standard form of a quadratic equation ax^2 + bx + c = 0, (a ≠0). Solution of quadratic equations (only real roots) by factorization and by completing the square, i.e., by using quadratic formula. Relationship between discriminant and nature of roots. Problems related to day-to-day activities to be incorporated

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