Question

ax² + bx + c = 0 is the general form of the equation where a, b, c are _______ and a is non-zero. *

Natural numbers

Integers

Whole numbers

Real numbers

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Answer 1

Answer:

INTEGERS

Step-by-step explanation:

Answer 2

Answer:

We will discuss here about the different cases of discriminant to understand the nature of the roots of a quadratic equation.

We know that α and β are the roots of the general form of the quadratic equation ax2 + bx + c = 0 (a ≠ 0) .................... (i) then we get

α = −b−b2−4ac√2a and β = −b+b2−4ac√2a

Here a, b and c are real and rational.

Then, the nature of the roots α and β of equation ax2 + bx + c = 0 depends on the quantity or expression i.e., (b2 - 4ac) under the square root sign.

Thus the expression (b2 - 4ac) is called the discriminant of the quadratic equation ax2 + bx + c = 0.

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