Advertisements
Advertisements
Question
Solve for x: `3x^2-2sqrt3x+2=0`
Advertisements
Solution
The given quadratic equation is`3x^2-2sqrt3x+2=0`
Comparing with the quadratic equation ax2 + bx + c = 0, we have
`a=3,b=-2sqrt3,c=2`
Discriminant of the given quadratic equation,
`D=b^2-4ac=(2sqrt6)^2-4xx3xx2=24-24=0`
`therefore x= (-(-2sqrt3)+-sqrt3)/(2xx3)` `[thereforex=(-b+-sqrtD)/(2a)]`
`rArrx=(2sqrt6)/6`
`rArrx=(sqrt6)/3`
Thus, the solution of the given quadratic equation is `x=(sqrt6)/3`
APPEARS IN
RELATED QUESTIONS
Find the roots of the following quadratic equation by factorisation:
x2 – 3x – 10 = 0
Solve the following quadratic equations by factorization:
`m/nx^2+n/m=1-2x`
If an integer is added to its square, the sum is 90. Find the integer with the help of quadratic equation.
Solve the following quadratic equations by factorization:
`(x-3)/(x+3 )+(x+3)/(x-3)=2 1/2`
Write the number of real roots of the equation x2 + 3 |x| + 2 = 0.
If a and b are roots of the equation x2 + ax + b = 0, then a + b =
If one root of the equation 4x2 − 2x + (λ − 4) = 0 be the reciprocal of the other, then λ =
Two natural numbers differ by 4. If the sum of their square is 656, find the numbers.
Two pipes running together can fill a tank in `11(1)/(9)` minutes. If one pipe takes 5 minutes more than the other to fill the tank, find the time in which each pipe would/fill the tank.
A piece of cloth costs Rs. 300. If the piece was 5 metres longer and each metre of cloth costs Rs. 2 less, the cost of the piece would have remained unchanged. How long is the original piece of cloth and what is the rate per metre?
