Question

x square +y square = 13 and xy =6 so what is x-y?

Answer 1

Answer:

$(x - y) {}^{2} = {x}^{2} + y {}^{2} - 2xy \\ (x - y) {}^{2} = 13 + 2 \times 6 \\ (x - y) {}^{2} = 13 + 12 = 25 \\ \\ \sqrt{(x - y) {}^{2} } = \sqrt{25} \\ x - y = +5 \: or \: - 5$

Answer 2

Answer:

using (x- y)2= x2+y2-2xy

put the values

(x-y)2=13+2×6

(x-y)2=13+12

(x-y)2=25

x-y= √25

x-y= 5