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 1
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QUADRATIC EQUATIONS By K Kundan 2
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QUADRATIC EQUATIONS FOR BANK PO  By K Kundan 3
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Quadratic Equation
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200 Quadratic Equation
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Quadratic Equation

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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