English

Solve the equation 3x2-2x+33=0 - Mathematics

Advertisements
Advertisements

Question

Solve the equation  `sqrt3 x^2 - sqrt2x + 3sqrt3 = 0`

Sum

Solution

The given quadratic equation is `sqrt3 x^2 - sqrt2x + 3sqrt3 = 0`

On comparing the given equation with ax2 + bx + c = 0, we obtain

Therefore, the discriminant of the given equation is

shaalaa.com
  Is there an error in this question or solution?
Chapter 5: Complex Numbers and Quadratic Equations - Exercise 5.3 [Page 109]

APPEARS IN

NCERT Mathematics [English] Class 11
Chapter 5 Complex Numbers and Quadratic Equations
Exercise 5.3 | Q 8 | Page 109

Video TutorialsVIEW ALL [1]

RELATED QUESTIONS

Solve the equation x2 + 3 = 0


Solve the equation x2 + 3x + 5 = 0


Solve the equation  `sqrt2x^2 + x + sqrt2 = 0`


Solve the equation `x^2 + x + 1/sqrt2 = 0`


Solve the equation  `x^2 + x/sqrt2 + 1 = 0`


Solve the equation   `x^2 -2x + 3/2 = 0`  


If z1 = 2 – i,  z2 = 1 + i, find `|(z_1 + z_2 + 1)/(z_1 - z_2 + 1)|`


x2 + 1 = 0


\[4 x^2 + 1 = 0\]


\[x^2 - 4x + 7 = 0\]


\[21 x^2 + 9x + 1 = 0\]


\[27 x^2 - 10 + 1 = 0\]


\[2 x^2 + x + 1 = 0\]


\[\sqrt{2} x^2 + x + \sqrt{2} = 0\]


\[x^2 + x + \frac{1}{\sqrt{2}} = 0\]


\[x^2 + \frac{x}{\sqrt{2}} + 1 = 0\]


\[- x^2 + x - 2 = 0\]


\[x^2 - 2x + \frac{3}{2} = 0\]


Solving the following quadratic equation by factorization method:

\[6 x^2 - 17ix - 12 = 0\]

 

Solve the following quadratic equation:

\[x^2 - \left( 5 - i \right) x + \left( 18 + i \right) = 0\]


Solve the following quadratic equation:

\[2 x^2 + \sqrt{15}ix - i = 0\]


Solve the following quadratic equation:

\[x^2 - \left( 3\sqrt{2} - 2i \right) x - \sqrt{2} i = 0\]


Solve the following quadratic equation:

\[x^2 - \left( \sqrt{2} + i \right) x + \sqrt{2}i = 0\]


Solve the following quadratic equation:

\[2 x^2 - \left( 3 + 7i \right) x + \left( 9i - 3 \right) = 0\]


If \[2 + \sqrt{3}\] is root of the equation \[x^2 + px + q = 0\] than write the values of p and q.


If the difference between the roots of the equation \[x^2 + ax + 8 = 0\] is 2, write the values of a.


Write the number of quadratic equations, with real roots, which do not change by squaring their roots.


The complete set of values of k, for which the quadratic equation  \[x^2 - kx + k + 2 = 0\] has equal roots, consists of


The number of solutions of `x^2 + |x - 1| = 1` is ______. 


If the equations \[x^2 + 2x + 3\lambda = 0 \text { and } 2 x^2 + 3x + 5\lambda = 0\]  have a non-zero common roots, then λ =


The set of all values of m for which both the roots of the equation \[x^2 - (m + 1)x + m + 4 = 0\] are real and negative, is


The number of roots of the equation \[\frac{(x + 2)(x - 5)}{(x - 3)(x + 6)} = \frac{x - 2}{x + 4}\] is 


If α, β are the roots of the equation \[x^2 - p(x + 1) - c = 0, \text { then } (\alpha + 1)(\beta + 1) =\]


The equation of the smallest degree with real coefficients having 1 + i as one of the roots is


If `|(z - 2)/(z + 2)| = pi/6`, then the locus of z is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×