Find the roots of the equation x² + 10x + 25 = 0
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Answer:
x^2 + 5x +5x + 25 = 0
x(x + 5) + 5(x + 5)
(x + 5) ( x+5) =0
.•. x = -5
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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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