Question

A quadratic equation ax 2 + bx+c=0, a ≠ 0 has equal roots. What is the value of D?

Answer 1

Answer:

Step-by-step explanation:

Since equal roots,hence value of discriminant is 0, hope you understood.

Answer 2

Given:

A quadratic equation ax 2 + bx+c=0, a ≠ 0 has equal roots.

To Find:

What is the value of D?

Solution:

Before answering this question let us know about the different cases of Determinant so we can have a good idea and then we will state this answer

First, A determinant is equal to b^2-4ac if the equation of quadratic is ax^2+bx+c=0

Now,

• D<0 the roots are complex or imaginary
• D>=0 then the roots are said to be real numbers
• D=0 then the roots are real and equal
• D>0 then the roots are real and unequal
• D>0 and a perfect square then the roots are rational and unequal
• D>0 and not a perfect square then the rots are irrational and unequal

We should have these ideas of the determinant so that many questions like this can be easily answered within seconds which helps in competitive exams a lot

Hence, the value of determinant D is 0.