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`
APPEARS IN
संबंधित प्रश्न
Solve the equation:`14/(x+3)-1=5/(x+1); xne-3,-1` , for x
Solve the following quadratic equations by factorization:
(a + b)2x2 - 4abx - (a - b)2 = 0
The sum of the squares two consecutive multiples of 7 is 1225. Find the multiples.
Find the roots of the quadratic equation \[\sqrt{2} x^2 + 7x + 5\sqrt{2} = 0\].
If the equation 9x2 + 6kx + 4 = 0 has equal roots, then the roots are both equal to
If the sum of the roots of the equation x2 − x = λ(2x − 1) is zero, then λ =
An aeroplane travelled a distance of 400 km at an average speed of x km/hr. On the return journey the speed was increased by 40 km/hr. Write down the expression for the time taken for
The outward journey
Solve the following equation by factorization
`x/(x + 1) + (x + 1)/x = (34)/(15)`
In a certain positive fraction, the denominator is greater than the numerator by 3. If 1 is subtracted from both the numerator and denominator, the fraction is decreased by `(1)/(14)`. Find the fraction.
Complete the following activity to solve the given quadratic equation by factorization method.
Activity: x2 + 8x – 20 = 0
x2 + ( __ ) – 2x – 20 = 0
x (x + 10) – ( __ ) (x + 10) = 0
(x + 10) ( ____ ) = 0
x = ___ or x = 2
