हिंदी

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

Advertisements
Advertisements

प्रश्न

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

योग

उत्तर

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
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 5: Complex Numbers and Quadratic Equations - Exercise 5.3 [पृष्ठ १०९]

APPEARS IN

एनसीईआरटी Mathematics [English] Class 11
अध्याय 5 Complex Numbers and Quadratic Equations
Exercise 5.3 | Q 8 | पृष्ठ १०९

वीडियो ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्न

Solve the equation –x2 + x – 2 = 0


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


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


Solve the equation 27x2 – 10x + 1 = 0


4x2 − 12x + 25 = 0


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


\[13 x^2 + 7x + 1 = 0\]


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


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


\[3 x^2 - 4x + \frac{20}{3} = 0\]


Solving the following quadratic equation by factorization method:

\[x^2 + 10ix - 21 = 0\]


Solving the following quadratic equation by factorization method:

\[x^2 - \left( 2\sqrt{3} + 3i \right) x + 6\sqrt{3}i = 0\]


Solving the following quadratic equation by factorization method:

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

 

Solve the following quadratic equation:

\[x^2 - \left( 3\sqrt{2} + 2i \right) x + 6\sqrt{2i} = 0\]


Solve the following quadratic equation:

\[\left( 2 + i \right) x^2 - \left( 5 - i \right) x + 2 \left( 1 - i \right) = 0\]


Write the number of real roots of the equation \[(x - 1 )^2 + (x - 2 )^2 + (x - 3 )^2 = 0\].


If a and b are roots of the equation \[x^2 - x + 1 = 0\],  then write the value of a2 + b2.


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


If a, b are the roots of the equation \[x^2 + x + 1 = 0, \text { then } a^2 + b^2 =\]


If α, β are roots of the equation \[4 x^2 + 3x + 7 = 0, \text { then } 1/\alpha + 1/\beta\] is equal to


The values of x satisfying log3 \[( x^2 + 4x + 12) = 2\] are


The number of real roots of the equation \[( x^2 + 2x )^2 - (x + 1 )^2 - 55 = 0\] is 


If α, β are the roots of the equation \[a x^2 + bx + c = 0, \text { then } \frac{1}{a\alpha + b} + \frac{1}{a\beta + b} =\]


The number of real solutions of \[\left| 2x - x^2 - 3 \right| = 1\] is


If x is real and \[k = \frac{x^2 - x + 1}{x^2 + x + 1}\], then


The values of k for which the quadratic equation \[k x^2 + 1 = kx + 3x - 11 x^2\] has real and equal roots are


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 =


If one root of the equation \[x^2 + px + 12 = 0\] while the equation \[x^2 + px + q = 0\] has equal roots, the value of q is


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 least value of which makes the roots of the equation  \[x^2 + 5x + k = 0\]  imaginary is


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


Find the value of P such that the difference of the roots of the equation x2 – Px + 8 = 0 is 2.


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


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×