3 years ago

One number is 2 more than another. The difference between their squares is 52. What are the numbers?

Mathematics

2 answers:

vova2212 [387]3 years ago

6 0

Answer:

The aprox, numbers:

4.1633 and 8.3266

Step-by-step explanation:

a = 2b

a² - b² = 52

then:

(2b)² - b² = 52

4b² - b² = 52

3b² = 52

b² = 52/3

b² = 17.333

√b² = √17.333

b = 4.1633 aprox.

a = 2b

a = 2*4.1633

a = 8.3266

Check:

8.3266² - 4.1633² = 52

69.333 - 17.333 = 52

kirza4 [7]3 years ago

4 0

The numbers are 12 and 14.

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