Find two consecutive positive integers such that the sum of their squares is 145

Question

Mathematics

Holmes

4 March, 13:59

Find two consecutive positive integers such that the sum of their squares is 145

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Answers (1)

Know the Answer?

Ally Kemp · Answer 1

8,9

Step-by-step explanation:

(x) ^2 + (x+1) ^2=145

x²+x²+2x+1=145

2x²+2x+1-145=0

x²+x-72=0

x²+9x-8x-72=0

x (x+9) - 8 (x+9) = 0

(x+9) (x-8) = 0

x=-9 (rejected being negative)

x=8

x+1=8+1=9