FOUNDATION LEVEL PAPER 3: BUSINESS MATHEMATICS LOGICAL ...
Transcript of FOUNDATION LEVEL PAPER 3: BUSINESS MATHEMATICS LOGICAL ...
VIRTUAL COACHING CLASSESORGANISED BY BOS (ACADEMIC), ICAI
FOUNDATION LEVEL PAPER 3:BUSINESS MATHEMATICS LOGICAL REASONING
AND STATISTICS
Faculty: CA RASHMI LONIKAR
© The Institute of Chartered Accountants of India
Date: 22nd July, 2021
QUADRATIC EQUATIONS▪ Form of equation : ax 2 + bx + c = 0
▪Roots of the equation are two
𝐱 =−𝐛 − 𝐛 𝟐 − 𝟒 𝐚𝐜
𝟐𝐚
And
𝐱 =−𝐛 + 𝐛 𝟐 − 𝟒 𝐚𝐜
𝟐𝐚21 July 2021
© THE INSTITUTE OF CHARTERED ACCOUNTANTS OF
INDIA2
▪1) x 2 -5x + 6 = 02) x 2 - x - 6 = 03) x 2 -2x – 8 = 04) 6x 2 +5x -6 = 05) x 2 -2x -15 = 0
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NATURE OF ROOTS
▪Ans
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▪Ans:
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Pg 2.16 Examine roots of equation
▪1) x 2 -8x +16 = 0
▪2) 3x 2 -8x + 4 = 0
▪3) 5x 2 -4x -2 = 0
▪4) 2x 2 -6x -3 = 0
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▪Sum of roots
Product of roots
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FORMATION OF QUADRATIC EQUATION
▪When sum of roots and product of roots is given, we can form the quadratic equation by
▪ x 2 - (sum of roots) x + (product of roots) = 0
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Pg 2.17
▪ How to form new eqn?
▪Step 1 Find the roots
▪Step 2 : Substitute in expression
▪Step 3: Construct/ form new eqn
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Ex F
▪Ans:
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WORD PROBLEMS –QUADRATIC pg 2.25 Ex H
▪Ans: c, b, a
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▪Ans: a, a, c
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