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Is it true that every quadratic equation has exactly one root?

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True

False

answer is B.

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Detailed Solution

Given statement is that every quadratic equation has exactly one root.
We know that a quadratic equation can have

0, 1

2

roots at a time.
Thus, the minimum number of roots of a quadratic equation is

0

.
The quadratic equation,

x 2 − 9 = 0

has two distinct roots

- 3

and

3

.
Thus, a quadratic equation can have two roots.
Also, the quadratic equation

x 2 − 4 x + 4 = 0

has only one root which is

2

.
That is for some quadratic equations, there is only one real root.
And for the quadratic equation,

x 2 + 4 x + 10 = 0

there are no real roots.
So, the given statement is false.
The correct statement is, every quadratic equation can have

0, 1

2

roots at a time.
Hence, the correct option is 2

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