English, asked by sakethv05, 4 months ago

6. Find x if distance between P(2,-3) and Q(x,5) is 10 units​

Answers

Answered by kunalpilwan11
0

109feet and chop of salt in hindi as a form

Answered by kaushik05
2

Given:

Here ,

x 1 = 2 and y1 = -3

x2 = x and y2 = 5

D = 10 units

To find :

• The value of x

Solution :

As we know that :

 \star \boxed{ \bold{  {d}^{2}  =  ({x_2 - x_1)}^{2}  +  {(y_2 - y_1)}^{2} }} \\

put the given values :

 \implies \:  \:  {10}^{2}  =  {(x - 2)}^{2}  + ( {5 - ( - 3))}^{2}  \\  \\  \implies \: 100 =  {x}^{2}  + 4 - 4x  + 64 \\  \\  \implies \:  {x}^{2}  - 4x - 32 = 0 \\  \\  \implies \:  {x}^{2}  - 8x + 4x - 32 = 0 \\  \\  \implies \: x(x - 8) + 4(x - 8) = 0 \\  \\  \implies \: (x + 4)(x - 8) = 0 \\  \\  \implies \: x \:  =  -  4 \: and \: 8

HENCE, THE VALUE OF X IS 8 UNITS

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