Question

The distance between vthe points (1,3) and (x, 7) .....find x....
please give correct answer.............​

Answer 1

Step-by-step explanation:

Answer:

By distance formula : -

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

(3−7)

2

+(1−x

2

=5

(Squaring both sides)

16 + {(x - 1)}^{2} = 2516+(x−1)

2

=25

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

2

−2x+1=9

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

2

−2x−8=0

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

2

−4x+2x−8=0

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

(x - 4)(x + 2) = 0(x−4)(x+2)=0

Therefore, < br / > < br / > \: x = 4,- 2Therefore,<br/><br/>x=4,−2

I Hope It Will Help!