Question

Find x so the distance between (x,2) and (1,5) is Square root of 13

Answer 1

Solution.......


A [ x, 2 ] and B = [1,5 ]

By Using Distance Formula -----

$\sqrt{ {(x - 1)}^{2} + {(2 - 5)}^{2} } = \sqrt{13} \\ \\ squaring \: both \: sides......$


${(x - 1)}^{2} + {( - 3)}^{2} = 13 \\ \\ {x}^{2} - 2x + 1 + 9 - 13 = 0 \\ \\ {x}^{2} - 2x + 10 - 13 = 0 \\ \\ {x}^{2} - 2x - 3 = 0$

${x}^{2} - 3x + x - 3 = 0 \\ \\ x(x - 3) + 1(x - 3) = 0 \\ \\ ( x - 3)(x + 1) = 0 \\ \\ x = 3 \: \: or \: \: \: x = - 1.......is \: the \: required \: answer........$


$hope \: this \: will \: help \: you........ \\ \\ \\ \\ \\ \\ be \: brainly..............$