Question

the Distance between the points (1,3) and (x,7) is 5 find x

Answer 1

I hope this help you

Answer 2

Answer:

By distance formula : -

$\sqrt{ {(3 - 7)}^{2} + {(1 - x}^{2} } = 5$

(Squaring both sides)

$16 + {(x - 1)}^{2} = 25$

${x}^{2} - 2x + 1 = 9$

${x}^{2} - 2x - 8 = 0$

${x}^{2} - 4x + 2x - 8 = 0$

$x(x - 4) + 2(x - 4) = 0$

$(x - 4)(x + 2) = 0$

$Therefore, \: x = 4,- 2$


I Hope It Will Help!

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