Cinema

The Cinema auditorium is built for 3300 people. The first row is planned for 36 seats, and each next gradually 4 more. How many rows of seats will have an auditorium?

Correct answer:

n =  33

Step-by-step explanation:

3300 = 2n (a1+an) = 2n (a1+a1 + d(n1)) 3300 = 2n (a1+a1 + d(n1)) 3300=36 n+n/2 (n1) 4  3300=36 n+n/2 (n1) 4 2n234n+3300=0 2n2+34n3300=0 2 ...  prime number 34=217 3300=2235211 GCD(2,34,3300)=2  n2+17n1650=0  a=1;b=17;c=1650 D=b24ac=17241(1650)=6889 D>0  n1,2=2ab±D=217±6889 n1,2=217±83 n1,2=8.5±41.5 n1=33 n2=50 n>0 n=n1=33

Our quadratic equation calculator calculates it.




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