Advertisements
Advertisements
प्रश्न
Solve the following quadratic equations by factorization:
`3x^2-2sqrt6x+2=0`
Advertisements
उत्तर
We have been given
`3x^2-2sqrt6x+2=0`
`3x^2-sqrt6x-sqrt6x+2=0`
`sqrt3x(sqrt3x-sqrt2)-sqrt2(sqrt3x-sqrt2)=0`
`(sqrt3x-sqrt2)(sqrt3x-sqrt2)=0`
Therefore,
`sqrt3x-sqrt2 = 0`
`sqrt3x=sqrt2`
`x=sqrt(2/3)`
or,
`sqrt3x-sqrt2 = 0`
`sqrt3x=sqrt2`
`x=sqrt(2/3)`
Hence, `x=sqrt(2/3)` or `x=sqrt(2/3)`
APPEARS IN
संबंधित प्रश्न
Solve the equation `3/(x+1)-1/2=2/(3x-1);xne-1,xne1/3,`
Solve for x :
`1/(x + 1) + 3/(5x + 1) = 5/(x + 4), x != -1, -1/5, -4`
Solve the following quadratic equations by factorization:
6x2 + 11x + 3 = 0
Two numbers differ by 3 and their product is 504. Find the number
A passenger train takes 3 hours less for a journey of 360 km, if its speed is increased by 10 km/hr from its usual speed. What is the usual speed?
A passenger train takes one hour less for a journey of 150 km if its speed is increased by 5 km/hr from its usual speed. Find the usual speed of the train.
Rs. 9000 were divided equally among a certain number of persons. Had there been 20 more persons, each would have got Rs. 160 less. Find the original number of persons.
Solve:
(a + b)2x2 – (a + b)x – 6 = 0; a + b ≠ 0
The sum of two natural numbers is 9 and the sum of their reciprocals is `1/2`. Find the numbers .
Solve the following quadratic equation by factorization.
`2"x"^2 - 2"x" + 1/2 = 0`
Solve the following quadratic equation by factorisation.
25m2 = 9
Solve the following quadratic equation by factorisation.
m2 - 11 = 0
Solve the following quadratic equations by factorization:
\[9 x^2 - 6 b^2 x - \left( a^4 - b^4 \right) = 0\]
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 number of quadratic equations having real roots and which do not change by squaring their roots is
Solve the following equation: `7"x" + 3/"x" = 35 3/5`
One fourth of a herd of camels was seen in the forest. Twice the square root of the herd had gone to mountains and the remaining 15 camels were seen on the bank of a river. Find the total number of camels.
Solve the following equation by factorization
21x2 – 8x – 4 = 0
The polynomial equation x(x + 1) + 8 = (x + 2) (x – 2) is:
If 'p' is a root of the quadratic equation x2 – (p + q) x + k = 0, then the value of 'k' is ______.
