Question

If x is a negative integer such that distance between (x, 2) and (4, - 6) is 10 units, then x equals​

Answer 1

Answer:

the answer is x=-8 (minus 8)

The negative integer is (-8) which calculates the distance

Answer 2

Here, we will use the Distance formulae

√[(x1 – x2) ^2 +(y1 – y2) ^2]= distance between (x1, x2) and (y1, y2)

Step-by-step explanation:

Applying the equation,

X1= x y1=2

X2=4 y2= –6

√[(x–4) ^2+(2-(-6)) ^2] = 10 (given in question)

√[ x^2+16-8x+64]=10

[x^2-8x+80]=100 (squaring on both sides)

X^2-8x-20=0

X^2-10x+2x-20=0

X(x-10) +2(x-10) =0 (Taking x common from first two expressions and 2 from last two)

(X+2) (x-10) =0

Putting both if them seprately 0

X+2=0 x–10=0

X=–2 x=10

Since given in question x is negative so,

X= –2 is the answer