Advertisements
Advertisements
प्रश्न
Solve the following quadratic equations by factorization:
`4sqrt3x^2+5x-2sqrt3=0`
Advertisements
उत्तर
We have been given
`4sqrt3x^2+5x-2sqrt3=0`
`4sqrt3x^2+8x-3x-2sqrt3=0`
`4x(sqrt3x+2)-sqrt3(sqrt3x+2)=0`
`(sqrt3x+2)(4x-sqrt3)=0`
Therefore,
`sqrt3x+2=0`
`sqrt3x=-2`
`x=-2/sqrt3`
or,
`4x-sqrt3=0`
`4x=sqrt3`
`xsqrt3/4`
Hence, `x=-2/sqrt3` or `xsqrt3/4`
APPEARS IN
संबंधित प्रश्न
Solve the equation `3/(x+1)-1/2=2/(3x-1);xne-1,xne1/3,`
Solve the following quadratic equations by factorization:
`(2x)/(x-4)+(2x-5)/(x-3)=25/3`
Solve the following quadratic equations by factorization:
`(x+3)/(x-2)-(1-x)/x=17/4`
Solve the following quadratic equations by factorization:
`1/((x-1)(x-2))+1/((x-2)(x-3))+1/((x-3)(x-4))=1/6`
A fast train takes one hour less than a slow train for a journey of 200 km. If the speed of the slow train is 10 km/hr less than that of the fast train, find the speed of the two trains.
An aeroplane left 50 minutes later than its scheduled time, and in order to reach the destination, 1250 km away, in time, it had to increase its speed by 250 km/hr from its usual speed. Find its usual speed.
Solve : x2 – 11x – 12 =0; when x ∈ N
`2x^2+5x-3=0`
Two natural number differ by 3 and their product is 504. Find the numbers.
Solve the following quadratic equation by factorisation.
x2 + x – 20 = 0
If the equation ax2 + 2x + a = 0 has two distinct roots, if
If one of the equation x2 + ax + 3 = 0 is 1, then its other root is
Solve equation using factorisation method:
`(x - 3)/(x + 3) + (x + 3)/(x - 3) = 2 1/2`
Solve the following quadratic equation by factorisation:
9x2 - 3x - 2 = 0
In each of the following determine whether the given values are solutions of the equation or not.
9x2 - 3x - 2 = 0; x = `-(1)/(3), x = (2)/(3)`
Solve the following equation by factorization
`x^2/(15) - x/(3) - 10` = 0
The perimeter of a rectangular plot is 180 m and its area is 1800 m2. Take the length of the plot as x m. Use the perimeter 180 m to write the value of the breadth in terms of x. Use the values of length, breadth and the area to write an equation in x. Solve the equation to calculate the length and breadth of the plot.
The length (in cm) of the hypotenuse of a right-angled triangle exceeds the length of one side by 2 cm and exceeds twice the length of another side by 1 cm. Find the length of each side. Also, find the perimeter and the area of the triangle.
Solve the following equation by factorisation :
`(6)/x - (2)/(x - 1) = (1)/(x - 2)`
