Advertisements
Advertisements
प्रश्न
Find a natural number whose square diminished by 84 is equal to thrice of 8 more than the given number.
उत्तर
Let the natural number = ‘x’.
According to the question,
We get the equation,
x2 – 84 = 3(x + 8)
x2 – 84 = 3x + 24
x2 – 3x – 84 – 24 = 0
x2 – 3x – 108 = 0
x2 – 12x + 9x – 108 = 0
x(x – 12) + 9(x – 12) = 0
(x + 9)(x – 12)
⇒ x = – 9 and x = 12
Since, natural numbers cannot be negative.
The number is 12.
APPEARS IN
संबंधित प्रश्न
A cottage industry produces a certain number of toys in a day. The cost of production of each toy (in rupees) was found to be 55 minus the number of toys produced in a day. On a particular day, the total cost of production was Rs 750. We would like to find out the number of toys produced on that day.
Solve the following quadratic equations by factorization:
(x − 4) (x + 2) = 0
Solve the following quadratic equations by factorization:
`4sqrt3x^2+5x-2sqrt3=0`
Solve the following quadratic equations by factorization:
`(x-1/2)^2=4`
Solve the following quadratic equations by factorization:
`x^2-4sqrt2x+6=0`
Solve:
(a + b)2x2 – (a + b)x – 6 = 0; a + b ≠ 0
If the equation x2 + 4x + k = 0 has real and distinct roots, then
A two digit number is such that the product of the digits is 12. When 36 is added to this number the digits interchange their places. Determine the number.
Solve the following equation by factorization.
a2x2 + 2ax + 1 = 0, a ≠ 0
If twice the area of a smaller square is subtracted from the area of a larger square, the result is 14 cm2. However, if twice the area of the larger square is added to three times the area of the smaller square, the result is 203 cm2. Determine the sides of the two squares.
