Question

We can find roots of quadratic equation if b2 - 4ac < 0. (True/False)

Answer 1

Answer:

true

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

Given that:we can find roots of quadratic equation if b²-4ac<0( true or false)

Solution: To answer this statement,

we know that a standard quadratic equation can be expressed as

$a {x}^{2} + bx + c = 0$

Nature of roots can be find with Discriminate,i. e. D

$\bold{D = {b}^{2} - 4ac}$

Value of D:Nature of roots

D>0 :Roots are real and distinct

D=0: Roots are real and equal

D<0: No,real roots exists[but Complex roots exists]

Thus for D<0,equation does not have real roots.

But Complex roots are exists.

Yes, if b²-4ac<0 one can find the roots of quadratic equation(where √-1=iota)This is included in the syllabus of class XI.

Thus,the statement is true,can find the roots of quadratic equation,if b²-4ac<0

Roots are complex roots and occurred in conjugate pair.

Hope it helps you.