Question

write three nature of roots for quadratic equation​

Answer 1

Roots of a Quadratic Equation. Here a, b, and c are real and rational. Hence, the nature of the roots α and β of equation ax2 + bx + c = 0 depends on the quantity or expression (b2 – 4ac) under the square root sign. ... Hence, the expression (b2 – 4ac) is called the discriminant of the quadratic equation ax2 + bx + c = 0.

Answer 2

Answer :

• Roots are real and unequal if D>0
• Roots are real and equal if D=0
• Roots don't exist, if D<0

Here, D = Discriminant.

It's formula is b² - 4ac