can any please help me to solve this question ??
please give the answer step by step
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Step-by-step explanation:
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Answer: 1/10 or 0.1 [equal real roots]
Step-by-step explanation:
x^2 - x/5 + 1/100 = 0
sum = -1/5
product = 1/100
The numbers are -1/10 , -1/10 [sum = -2/10=-1/5 && product=1/100]
x^2 - x/10 - x/10 + 1/100 = 0
x(x- 1/10) - 1/10 *(x - 1/10) = 0
[x - 1/10] [x - 1/10] = 0
x = 1/10 or 0.1
ALTERNATE:
100x^2 - 20x + 1 = 0 [LCM is '100']
sum = -20 && product = 100
The numbers are -10,-10
100x^2 - 10x - 10x + 1 = 0
10x(10x-1) -1(10x-1) = 0
[10x-1][10x-1] = 0
10x =1
x=1/10 = 0.1
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