Question

Distance between two point (8,x)(x,6)is2 root2 find the value of x

Answer 1

Step-by-step explanation:

$\sqrt{ {(8 - x)}^{2} + {(x - 6)}^{2} } = \sqrt{2} \\ 64 + {x}^{2} - 16x + 36 + {x }^{2} - 12x = 2 \\ 2 {x}^{2} + 98 - 28x = 0 \\ {x}^{2} - 14x + 49 = 0 \\ {(x - 7)}^{2} = 0 \\ hence \: \: x = 7$

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