Question: The product of two consecutive positive odd numbers is 63. What is the sum of these two numbers?
Solution: Let xx be an odd number and x + 2x+2 as it is its consecutive odd number. Find xx and its consecutive odd number when their product is 63.
x(x + 2) = 63x(x+2)=63
x^2 + 2x = 63x
x^2 + 2x - 63 = 0x
» Solve the quadratic equation by factoring:
(x + 9)(x - 7) = 0(x+9)(x−7)=0
x + 9 = 0 \quad ; \quad x - 7 = 0x+9=0;x−7=0
x = \text-9 \quad ; \quad x = 7x=-9;x=7
» Use only the positive solution since it talks about positive numbers which is 7. Now find its consecutive odd positive number.
x + 2 \: ; \: x = 7x+2;x=7
7 + 2 = 97+2=9
» Thus, the two consecutive positive odd numbers with a product of 63 is 7 and 9. Find their sum.
7 + 9 = 167+9=16
\therefore∴ The sum of 7 and 9 is...
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RHYTHM dances: Rumba, Cha-Cha, Samba, Mambo, Salsa, Bolero, East Coast Swing, Jive, and West Coast Swing. LATIN dances: Rumba, Cha-Cha, Samba, and Mambo. SMOOTH dances: Foxtrot, Tango, Waltz, Viennese Waltz, Quickstep, Night Club Two-Step. Many of these dances have both an American style and an International style.Dancesport
There are two main international styles of Dancesport – Standard (which used to be called “modern”) – Waltz, Slow Foxtrot, Tango, Quickstep & Viennese waltz and Latin American – Cha Cha Cha, Samba, Rumba, Paso Doble & Jive.Compare
Dancesport is another name for competitive ballroom dancing. ... By contrast, ballroom dancing, like all the partner dances, was invented to dance socially. Get a group of ballroom dancers together, and they'll all take to the floor at the same time.