Advertisements
Advertisements
प्रश्न
The number of seats in a row is equal to the total number of rows in a hall. The total number of seats in the hall will increase by 375 if the number of rows is doubled and the number of seats in each row is reduced by 5. Find the number of rows in the hall at the beginning.
उत्तर
Let the number of rows in the hall be “x”
∴ Total number of rows = x
Total number of seats in the hall is “x2”
By the given condition
x2 + 375 = 2x (x – 5)
x2 + 375 = 2x2 – 10x
x2 – 2x2 + 10x + 375 = 0
– x2 + 10x + 375 = 0
– x2 – 10x – 375 = 0
(x – 25) (x + 15)
x – 25 = 0 or x + 15 = 0
x = 25 or x = – 15
Number of rows in the hall = 25
APPEARS IN
संबंधित प्रश्न
Reduce the following rational expression to its lowest form
`(x^2 - 11x + 18)/(x^2 - 4x + 4)`
Find the excluded values, of the following expression
`"t"/("t"^2 - 5"t" + 6)`
Simplify `(2"a"^2 + 5"a" + 3)/(2"a"^2 + 7"a" + 6) ÷ ("a"^2 + 6"a" + 5)/(-5"a"^2 - 35"a" - 50)`
If x = `("a"^2 + 3"a" - 4)/(3"a"^2 - 3)` and y = `("a"^2 + 2"a" - 8)/(2"a"^2 - 2"a" - 4)` find the value of x2y–2
If a polynomial p(x) = x2 – 5x – 14 is divided by another polynomial q(x) we get `(x - 7)/(x + 2)`, find q(x)
Simplify `(x(x + 1))/(x - 2) + (x(1 - x))/(x - 2)`
Simplify `((2x + 1)(x - 2))/(x - 4) - ((2x^2 - 5x + 2))/(x - 4)`
Simplify `(4x)/(x^2 - 1) - (x + 1)/(x - 1)`
Reduce the given Rational expression to its lowest form
`(x^(3"a") - 8)/(x^(2"a") + 2x^"a" + 4)`
At t minutes past 2 pm, the time needed to 3 pm is 3 minutes less than `("t"^2)/4`. Find t.
