Advertisements
Advertisements
प्रश्न
Five times a certain whole number is equal to three less than twice the square of the number. Find the number.
उत्तर
Let number = x
Now according to the condition,
5x = 2x2 - 3
⇒ 2x2 - 5x - 3 = 0
⇒ 2x2 - 6x + x - 3 = 0
⇒ 2x(x - 3) + 1 (x - 3) = 0
⇒ (x - 3)(2x + 1) = 0
Either x - 3 = 0,
then x = 3
or
2x + 1 = 0,
then 2x = -1
⇒ x `-(1)/(2)`
But it is not possible as the number is whole number.
∴ Number = 3.
APPEARS IN
संबंधित प्रश्न
Solve for x
`(x - 1)/(2x + 1) + (2x + 1)/(x - 1) = 2, "where x" != -1/2, 1`
Solve the following quadratic equations by factorization:
`7x + 3/x=35 3/5`
If a and b can take values 1, 2, 3, 4. Then the number of the equations of the form ax2 +bx + 1 = 0 having real roots is
Solve the following equation: 2x2 - x - 6 = 0
A two digit number is such that the product of the digits is 14. When 45 is added to the number, then the digit are reversed. Find the number.
Solve the following equation by factorization
`(1)/(x - 3) - (1)/(x + 5) = (1)/(6)`
Find the values of x if p + 1 =0 and x2 + px – 6 = 0
There are three consecutive positive integers such that the sum of the square of the first and the product of other two is 154. What are the integers?
Solve the following equation by factorisation :
x2 + 6x – 16 = 0
Solve the quadratic equation by factorisation method:
x2 – 15x + 54 = 0
