Distance problem 2

Distance AB=√2, find the value of x

Correct answer:

x1 =  1
x2 =  -0.2

Step-by-step explanation:

(x2x)2 + (2x1)2 = 2  (x2x)2+(2x1)2=2  5x24x1=0  a=5;b=4;c=1 D=b24ac=4245(1)=36 D>0  x1,2=2ab±D=104±36 x1,2=104±6 x1,2=0.4±0.6 x1=1 x2=0.2  x1=1

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