Question

The distance between the point (-1, 9) and (x, 5) is exactly 4 √2. Fine the value of x.

Answer 1

Answer:

$\sqrt{(x + 1) {}^{2} + ( - 4) {}^{2} } = 4 \sqrt{2}$

both sides squaring

(x+1)²+16 = 32

x²+1+2x = 16

x²+2x-15 = 0

x²+5x-3x-15 = 0

x(x+5)-3(x+5)=0

x = 3 , -5