English

Solve the Quadratic Equation X^2 + X/Sqrt2 + 1 = 0 - Mathematics

Advertisements
Advertisements

Question

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

Sum

Solution

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 10 | Page 109

Video TutorialsVIEW ALL [1]

RELATED QUESTIONS

Solve the equation x2 + 3x + 9 = 0


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


For any two complex numbers z1 and z2, prove that Re (z1z2) = Re zRe z2 – Imz1 Imz2


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


x2 + 2x + 5 = 0


x2 + x + 1 = 0


\[5 x^2 - 6x + 2 = 0\]


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


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


Solving the following quadratic equation by factorization method:

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


Solve the following quadratic equation:

\[x^2 - \left( 2 + i \right) x - \left( 1 - 7i \right) = 0\]


Solve the following quadratic equation:

\[i x^2 - 4 x - 4i = 0\]


Solve the following quadratic equation:

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


Solve the following quadratic equation:

\[i x^2 - x + 12i = 0\]


Solve the following quadratic equation:

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


Solve the following quadratic equation:

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


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


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


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


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


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


If the roots of \[x^2 - bx + c = 0\] are two consecutive integers, then b2 − 4 c is


The value of a such that  \[x^2 - 11x + a = 0 \text { and } x^2 - 14x + 2a = 0\] may have a common root is


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 value of p and q (p ≠ 0, q ≠ 0) for which pq are the roots of the equation \[x^2 + px + q = 0\] are

 

If α, β are the roots of the equation \[x^2 + px + q = 0 \text { then } - \frac{1}{\alpha} + \frac{1}{\beta}\] are the roots of the equation


If the difference of the roots of \[x^2 - px + q = 0\]  is unity, then

 

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


If 1 – i, is a root of the equation x2 + ax + b = 0, where a, b ∈ R, then find the values of a and b.


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


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×