Question

The difference of two numbers is 2 and the sum of their squares is 164 find the number

Answer 1

Answer:

• 8 and 10 or -8 and -10

Step-by-step explanation:

a+b=2 ⇒ a=2+b

a²+b²=164

(2+b)²+b²=164

4+4b+b²+b²=164

2b²+4b-160=0

b²+2b-80=0

b1,2= $\frac{-2±\sqrt{4+320} }{2}$ = $\frac{-2±18}{2}$

b=8, a=10  ∨  b=-10, a=-8