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QUADRATIC EQUATIONS: For the things of this world cannot be made known without a knowledge of mathematics.
Solve by factorization
a. 4x2 - 4a2x + (a4 - b4) = 0
Ans: 4x2 - 4a2x + (a4-b4) = 0.
4x2 - [2(a2 + b2) + 2 (a2 - b2)] x + (a2 - b2) (a2 + b2) = 0.
⇒ 2x[2x-(a2 + b2)] - (a2 - b2) [2x - (a2 + b2) = 0.
⇒ x = a2 + b2/2 x = a2 - b2/2
Example of Imaginary Numbers: Example 1: Multiply √-2 and √-32 Solution: (√-2)( √-32) = (√2i)( √32i) =√64 (-1) =8 (-1) =-8 Example 2: Divid
Find the circumference of a circle whose area is 16 times the area of the circle with diameter 7cm (Ans: 88cm) Ans: Π R 2 = 16 Π r 2 R 2 = 16 r 2
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