Jack is thinking of two positive numbers, one of them is 4 more than the other and the sum of their squares is 208 what are the numbers? x = one number x + 4 = other number {one of them is 4 more than the other} x² + (x + 4)² = 208 {the sum of their squares is 208} x² + (x + 4)(x + 4) = 208 {when squaring a binomial, multiply it by itself} x² + x² + 8x + 16 = 208 {used foil method} 2x² + 8x + 16 = 208 {combined like terms} 2x² + 8x  192 = 0 {subtracted 208 from both sides} 2(x² + 4x  96) = 0 {factored 2 out} 2(x + 12)(x  8) = 0 {factored into two binomials} x + 12 = 0 or x  8 = 0 {set each factor equal to 0} x = 12 or x = 8 {solved each equation for x} x = 8 {taking only positive integers} x + 4 = 12 {substituted 8, in for x, into x + 4} 8 and 12 are the numbers © Algebra House
0 Comments
Your comment will be posted after it is approved.
Leave a Reply. 
Algebra Examples Playlist
Examples
All
