Question

every person has his unique personality same is true with the numbers describe and tell something about your experience on nature of the roots of quadratic equations using the discriminant​

Answer 1

We proceed to write down the nature of the roots of quadratic equations using its discriminant. For this, we assume the general form of a quadratic equation,

$\quad ax^{2}+bx+c=0$

where $a,b,c\in\mathbb{R}$ and $a\neq 0$

Then its discriminant is $\boxed{D=b^{2}-4ac}$

Nature of the roots:

• When $D>0$, i.e., $b^{2}-4ac>0$, the roots of the quadratic equation are unequal and $>0$ or Real.

• When $D<0$, i.e., $b^{2}-4ac<0$, the roots of the quadratic equation are unequal and $<0$ or Imaginary.

• When $D=0$, i.e., $b^{2}=4ac$, the roots of the quadratic equation are equal and Real.

In reference to the answer, you may refer to the following answers given by Brainly experts:

1. Show that the equation $3x^{2}-4x+5=0$ cannot have any real root.

https://brainly.in/question/9149081

2. Which of the following values of the discriminant of a quadratic equation has imaginary solutions?

https://brainly.in/question/46996686