The solution of the quadratic equation x^2-20x+a^2-b^2=0 is
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ctcr rcrcr g f fcrxrxrxrx=5
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ummoshatamahedee
09.11.2016
Math
Secondary School
+8 pts
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Please solve this x2-2ax+(a2-b2)=0
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nikitasingh79
nikitasingh79 Genius
SOLUTION :
Given :
x² - 2ax + (a² - b²) = 0
(x² - 2ax + a²) - (b²) = 0
(x)² - 2a×x + (a)² - b²
(x - a)² - (b)² = 0
[(a)² - 2ab + (b)² = (a - b)²]
(x - a - b) (x - a + b) = 0
[ a² - b² = (a - b)(a + b)]
x - a - b = 0 or x - a + b = 0
x = a + b or x = a - b
Hence, the value of x is (a +b) or (a-b)
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