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 following quadratic equations by factorization:
`x^2-(sqrt3+1)x+sqrt3=0`
Solve the following quadratic equations by factorization:
4x2 + 4bx - (a2 - b2) = 0
Solve the following quadratic equations by factorization:
ax2 + (4a2 − 3b)x − 12ab = 0
Solve the following quadratic equations by factorization:
x2 - x - a(a + 1) = 0
Solve the following quadratic equations by factorization:
a2b2x2 + b2x - a2x - 1 = 0
Sum of two numbers is 16. The sum of their reciprocals is 1/3. Find the numbers.
The sum of a number and its reciprocal is 17/4. Find the number.
The sum of two numbers is 18. The sum of their reciprocals is 1/4. Find the numbers.
The sum of ages of a man and his son is 45 years. Five years ago, the product of their ages was four times the man's age at the time. Find their present ages.
If two pipes function simultaneously, a reservoir will be filled in 12 hours. One pipe fills the reservoir 10 hours faster than the other. How many hours will the second pipe take to fill the reservoir?
`4x^2+4sqrt3x+3=0`
The sum of two natural number is 28 and their product is 192. Find the numbers.
The sum of the squares to two consecutive positive odd numbers is 514. Find the numbers.
Find two consecutive multiples of 3 whose product is 648.
The hypotenuse of a grassy land in the shape of a right triangle is 1 m more than twice the shortest side. If the third side is 7m more than the shortest side, find the sides of the grassy land.
If the product of two positive consecutive even integers is 288, find the integers.
Find three consecutive odd integers, the sum of whose squares is 83.
A rectangular garden 10 m by 16 m is to be surrounded by a concrete walk of uniform width. Given that the area of the walk is 120 square metres, assuming the width of the walk to be x, form an equation in x and solve it to find the value of x.
The hotel bill for a number of people for an overnight stay is Rs. 4800. If there were 4 more, the bill each person had to pay would have reduced by Rs. 200. Find the number of people staying overnight.
Divide 16 into two parts such that the twice the square of the larger part exceeds the square of the smaller part by 164.
