Question

if the distance between the points (a,2)and (3,4) be 8, then a =​

Answer 1

hello friends.

we have to find the value of x=?

solution:-

using distance formula :

AB = √(x2 -x1)² +(y2 - y1)1

here

given that

the distance between the points is = 8

= √ (3-x)² + (4-2)² = 8

=> (3-x)² + 2² =64. ( squaring both side)

=> 9 + x² - 6x + 4 = 64

=> x² - 6x = 64 -13

=> x² - 6x = 51 => x² -6x-51 = 0

=> x = {6 + √ (36 -4 ×1× -51)}/ 2

=> x =( 6 + √ 169)/ 2

= (6+13)/2 = 19/2 = 9.5 answer

♦♦ hope it helps ♦♦

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