Quadratic equations, Mathematics

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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

 


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