Makahanap ng mga solusyon sa iyong mga problema gamit ang IDNStudy.com. Sumali sa aming platform upang makatanggap ng mabilis at eksaktong tugon mula sa mga propesyonal sa iba't ibang larangan.

The product of two consecutive odd integers is 58 less than the square of the next consecutive integer. Find these integer.


Show me your soltion please :) BTW OUR TOPIC IS ABOUT QUADRATIC EQUATIONS and solve this using one variable only :)


Sagot :

This is linear.

Let the first odd integer = x
            second odd integer = X + 2
            third odd integer = x+4

(x) (x + 2) = (x + 4)² - 58
x² + 2x = x² + 8x + 16 - 58
x² - x² + 2x - 8x - 16 + 58 = 0

-6x + 42 = 0       (linear equation)

-6x = -42
-6       -6
   x = 7

Substitute 7 for x

First odd integer:  x = 7
Second odd integer: x + 2 
                                      7 + 2 
                                       = 9

third odd integer: x + 4 
                               7 + 4
                               = 11

The three consecutive odd integers are 7, 9, 11