Question

The sum of the square of a positive number and the square of 3 more than the number is 17
. What is the​ number?

Answer 1

Step-by-step explanation:

let x be the number

x² + (x+3)²=17

x²+x²+9+6x=17

2x²+ 6x+ 9= 17

2x²+6x+9-17=0

2x²+6x -8 =0

2x²+(8-2)x -8=0

2x²+8x -2x - 8=0

2x(x+4) - 2(x+4) =0

2x -2=0 , x+4=0

x=1 and x= -4

the correct answer is 1