Question

If the discriminant of quadratic equation b2-4ac=0 then the roots are
A. Real and distinct
B. Roots are equal
C. No real roots
D. Roots are unequal and irrational

Answer 1

roots are equal

hope it helps

Answer 2

Answer:

Option (B) Roots are real and equal.

Step-by-step explanation:

The Quadratic equation can be written as

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

Where, a is the coefficient of x², b is the coefficient of x and c is the constant.

As the Highest power of equation is 2, then it will have two roots.

The roots of this quadratic equation can be determined by the formula:

$\frac{ - b + - \sqrt{ {b }^{2} - 4ca} }{2a}$

where,

${b}^{2} - 4ca$

is called the Discriminant.

The roots of the quadratic equation are different in nature. They may be real or imaginary. It depends on the value of Discriminant.

• If the Discriminant (b²-4ca) is less than zero, then roots are unequal and imaginary.
• If the Discriminant (b²-4ca) is equal to zero, then roots are real and equal.
• If the Discriminant (b²-4ca) is greater than zero and a perfect square, then the roots are real, unequal and rational.
• If the Discriminant (b²-4ca) is greater than zero and not a perfect square, then the roots are real, unequal and irrational.