Question

Determine nature of the roots, if value of the discriminantis -30.

Answer 1

Given,

$\[{\rm{discriminant = - 30}}\]$

Solution,

Consider the quadratic equation is $\[{\rm{a}}{{\rm{x}}^2}{\rm{ + bx + c = 0}}\]$ and formula for discrimnant is $\[{{\rm{b}}^2} - 4ac\]$.

$\[{{\rm{b}}^2} - 4ac = - 30\]$

The value of discrimnant is -ve so there are two complex distinct roots.

Answer 2

Answer:

It has no real roots but has two distinct imaginary roots.

Step-by-step explanation:

If,

D > 0, then there are two real equal roots.

D = 0, then there are two real unequal roots.

D < 0, then there are two imaginary unequal roots.

And here, since D = -30, i.e. less than 0.

∴ D < 0

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