3 years ago

Find two numbers whose sum is 8 and whose product is 17

Mathematics

1 answer:

vodka [1.7K]3 years ago

7 0

Answer:

Step-by-step explanation:

x+y = 8

y = 8-x

xy = 17

x(8-x) = 17

8x - x² = 17

x² - 8x + 17 = 0

Quadratic formula

x = [8 ± √(8² – 4·1·17)] / [2·1]

= [8 ± √(-4)] / 2

= [8 ± 2i] /2

= 4±i

x = 4+i

y = 4-i

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Find two numbers whose sum is 8 and whose product is 17​

Find two numbers whose sum is 8 and whose product is 17