# Download Collection Of Quadratic Equation Questions With Solution PDF For Competitive Exam

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### Collection Of Quadratic Equation Questions With Solution PDF

QUADRATIC EQUATIONS By K Kundan 1Download : Click Here

QUADRATIC EQUATIONS By K Kundan 2

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QUADRATIC EQUATIONS FOR BANK PO By K Kundan 3

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Quadratic EquationDownload : Click Here

Quadratic Equation

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200 Quadratic Equation

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All PDF in One Place

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All PDF in One Place

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If p(x) is a quadratic polynomial, then p(x) = 0 is called

a quadratic equation. The general formula of a quadratic

equation is ax 2 + bx + c = 0; where a, b, c are real

numbers and a 0. For example, x 2 – 6x + 4 = 0 is a quadratic equation.

2. Roots of a Quadratic Equation

Let p(x) = 0 be a quadratic equation, then the values of

x satisfying p(x) = 0 are called its roots or zeros.

Finding the roots of a quadratic equation is known as

solving the quadratic equation.

3. Quadratic Formulae

(i) If and are the two roots of ax 2 + bx + c = 0

(ii) Sum of the roots

(iii) Product of the roots

(iv) A quardratic equation whose roots are and

is given by ( ) 0

(v) In ax2 + bx + c = 0, the expression

D = b

2 – 4ac is called its discriminant.

4. Nature of Roots of ax

2 + bx + c = 0

Let D = b

2 – 4ac be the discriminant of the given

equation. Then roots of the equation ax

2 + bx+ c = 0 are

(i) real and equal if D = 0.

(ii) real, unequal and rational, when D > 0 and D is

a perfect square.

(iii) real, unequal and irrational, when D > 0 and D

is not a perfect square.

(iv) imaginary, if D < 0.

(v) integers, when a = 1, b and c are integers and

the roots are rational.

5. Methods of Solving Quadratic Equation

(i) By Factorization

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