Advertisements
Advertisements
प्रश्न
If `sqrt (2/3)` is a solution of equation 3x2 + mx + 2 = 0, find the value of m.
Advertisements
उत्तर
For x = `sqrt (2/3)` to be solution of the given quadratic equation it should satisfy the equation
So, substituting x = `sqrt (2/3)` in the given equation, we get
`3(sqrt (2/3))^2 + m(sqrt (2/3)) + 2 = 0`
`\implies 3(2/3) + m(sqrt (2/3)) + 2 = 0`
`\implies m = -4 sqrt (3/2) = -2sqrt6`
∴ `m = -2sqrt6`
संबंधित प्रश्न
A cottage industry produces a certain number of pottery articles in a day. It was observed on a particular day that the cost of production of each article (in rupees) was 3 more than twice the number of articles produced on that day. If the total cost of production on that day was Rs 90, find the number of articles produced and the cost of each article.
Solve for x :
`1/(2x - 3) + 1/(x - 5) = 1 1/9 , X != 3/2, 5`
Solve the following quadratic equations by factorization:
`x^2-(sqrt3+1)x+sqrt3=0`
`x^2-6x+3=0`
Find the two consecutive positive even integers whose product is 288.
Solve the following quadratic equations by factorization:
\[3\left( \frac{7x + 1}{5x - 3} \right) - 4\left( \frac{5x - 3}{7x + 1} \right) = 11; x \neq \frac{3}{5}, - \frac{1}{7}\]
The values of k for which the quadratic equation \[16 x^2 + 4kx + 9 = 0\] has real and equal roots are
Five years ago, a woman’s age was the square of her son’s age. Ten years hence, her age will be twice that of her son’s age. Find:
- the age of the son five years ago.
- the present age of the woman.
Solve the following equation by factorization
`(2)/(3)x^2 - (1)/(3)x` = 1
Solve the following equation by factorisation :
2x2 + ax – a2= 0
