x²–10x+25=0,Find the roots of the given equation by the method of perfect square.
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Here is ur answer buddy!
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Solution :
Given Quadratic equation x²-10x+25=0
=> x² - 2*x*5 + 5² = 0
=> ( x - 5 )² = 0
***************************************
We know the algebraic identity,
a² - 2ab + b² = ( a - b )²
**************************************
=> ( x - 5 )( x - 5 ) = 0
Therefore
( x - 5 ) = 0 or x - 5 = 0
x = 5 or x = 5
Equal roots
•••••
Given Quadratic equation x²-10x+25=0
=> x² - 2*x*5 + 5² = 0
=> ( x - 5 )² = 0
***************************************
We know the algebraic identity,
a² - 2ab + b² = ( a - b )²
**************************************
=> ( x - 5 )( x - 5 ) = 0
Therefore
( x - 5 ) = 0 or x - 5 = 0
x = 5 or x = 5
Equal roots
•••••
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