Home
Class 11
MATHS
Solve the equation:sqrt(3)x^2-sqrt(2)x+3...

Solve the equation:`sqrt(3)x^2-sqrt(2)x+3sqrt(3)= 0`

Text Solution

Verified by Experts

The correct Answer is:
N/a
Given equation is
`sqrt(3)x^(2)-sqrt(2)x+3sqrt(3)=0 `
Here, `a=sqrt(3), b=- sqrt(2), c= 3sqrt(3)`
From Sridharacharya's formula
` " "x=(-bpmsqrt(b^(2)-4ac))/(2a)`
` " "x=( sqrt(2)pmsqrt((-sqrt(2))^(2)-4(sqrt(3))(3sqrt(3))))/( 2(sqrt(3)))`
`" "=(sqrt(2)pmsqrt(2- 36))/(2sqrt(3))=(sqrt(2)pmisqrt(34))/(2sqrt(3))`
Therefore, solutions of the equation are
`" "x=(sqrt(2)pmisqrt(34))/(2sqrt(3))`
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATION

    NAGEEN PRAKASHAN ENGLISH|Exercise MISCELLANEOUS EXERCISE|20 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATION

    NAGEEN PRAKASHAN ENGLISH|Exercise EXERCISE 5.2|8 Videos

  • BINOMIAL THEOREM

    NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exericse|20 Videos

  • CONIC SECTION

    NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exercise|8 Videos

Similar Questions

Explore conceptually related problems

Find the roots of the equations: sqrt(3)x^(2)-sqrt(2)x+3sqrt(3)=0 .

Solve the equation: sqrt(2)x^2+x+sqrt(2)=0

Solve the equation sqrt(2x-1)+sqrt(3x-2)=sqrt(4x-3)+sqrt(5x-4).

Solve the equation 3sqrt((x+3))-sqrt((x-2))=7

Solve by factorization: sqrt(3)x^2-2sqrt(2)x-2sqrt(3)=0

Solve the equation x^2-(sqrt(3)+1)x+sqrt(3)=0 by the method of completing the square.

Solve the equation x^(2)-(2sqrt(2)+3i)x+6isqrt(2)=0 by factorization method.

Solve the Equation x^2+(sqrt(3)-2sqrt(2) i)x-2sqrt(6)i=0 using the general epression for a quadratic equation.

Write the discriminant of the following quadratic equations: sqrt(3)x^2+2sqrt(2)x-2sqrt(3)=0 (ii) x^2-x+1=0

The roots of the equation 6 sqrt(5) x^(2) - 9x - 3sqrt(5) = 0 is