Mathematics>Algebra>Quadratic Equations>Special Roots and Signs of Roots

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The quadratic equation is ${ax}^{2} + bx + c = 0$ . From below given options find the condition that shows both the roots as positive.

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Important Questions on Quadratic Equations

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Mathematics>Algebra>Quadratic Equations>Special Roots and Signs of Roots

Cotyledons are also called-

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Mathematics>Algebra>Quadratic Equations>Special Roots and Signs of Roots

Find the condition that one of the roots of the equation

a x^{2} + b x + c = 0

may be reciprocal of the other.

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Mathematics>Algebra>Quadratic Equations>Special Roots and Signs of Roots

Find the condition that one of the roots of the equation

a x^{2} + b x + c = 0

may be negative of the other.

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Mathematics>Algebra>Quadratic Equations>Special Roots and Signs of Roots

Find the condition that both the roots of the equation

a x^{2} + b x + c = 0

may be zero.

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Mathematics>Algebra>Quadratic Equations>Special Roots and Signs of Roots

Find the condition that one of the roots of the equation

a x^{2} + b x + c = 0

may be zero.

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Mathematics>Algebra>Quadratic Equations>Special Roots and Signs of Roots

Find the condition that exactly one of the roots of the equation

a x^{2} + b x + c = 0

is zero.

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Mathematics>Algebra>Quadratic Equations>Special Roots and Signs of Roots

Find the condition that one of the roots of the equation

a x^{2} + b x + c = 0

is positive and the other is negative.

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Mathematics>Algebra>Quadratic Equations>Special Roots and Signs of Roots

The condition that one of the roots of the equation

a x^{2} + b x + c = 0

may be negative of the other is

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Mathematics>Algebra>Quadratic Equations>Special Roots and Signs of Roots

Find the condition for which both roots of quadratic equation

a x^{2} + b x + c = 0

,

(a \neq 0)

is zero.

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Mathematics>Algebra>Quadratic Equations>Special Roots and Signs of Roots

If the roots of

a x^{2} + b x + c = 0

are equal in magnitude but opposite in sign, then a possible condition is

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Mathematics>Algebra>Quadratic Equations>Special Roots and Signs of Roots

If both roots of

a x^{2} + b x + c = 0

are negative, then what can you say about the signs of

a, b

and

c

?

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Mathematics>Algebra>Quadratic Equations>Special Roots and Signs of Roots

The condition that both the roots of the equation

{ax}^{2} + bx + c = 0

are zero is:

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Mathematics>Algebra>Quadratic Equations>Special Roots and Signs of Roots

If the roots of

x^{2} - p x + q = 0

are two consecutive integers then the value of

p^{2} - 4 q

is