Advertisements
Advertisements
प्रश्न
Solve the equation `sqrt2x^2 + x + sqrt2 = 0`
उत्तर
The given quadratic equation is `sqrt2x^2 + x + sqrt2 = 0`
APPEARS IN
संबंधित प्रश्न
Solve the equation x2 + 3 = 0
Solve the equation x2 + 3x + 5 = 0
Solve the equation `sqrt3 x^2 - sqrt2x + 3sqrt3 = 0`
For any two complex numbers z1 and z2, prove that Re (z1z2) = Re z1 Re z2 – Imz1 Imz2
Solve the equation `3x^2 - 4x + 20/3 = 0`
Solve the equation `x^2 -2x + 3/2 = 0`
Solve the equation 27x2 – 10x + 1 = 0
x2 + 1 = 0
4x2 − 12x + 25 = 0
\[x^2 + 2x + 5 = 0\]
\[x^2 - x + 1 = 0\]
\[2 x^2 + x + 1 = 0\]
\[- x^2 + x - 2 = 0\]
\[x^2 - 2x + \frac{3}{2} = 0\]
Solving the following quadratic equation by factorization method:
\[x^2 + \left( 1 - 2i \right) x - 2i = 0\]
Solving the following quadratic equation by factorization method:
\[6 x^2 - 17ix - 12 = 0\]
Solve the following quadratic equation:
\[\left( 2 + i \right) x^2 - \left( 5 - i \right) x + 2 \left( 1 - i \right) = 0\]
Solve the following quadratic equation:
\[x^2 - x + \left( 1 + i \right) = 0\]
Solve the following quadratic equation:
\[i x^2 - x + 12i = 0\]
If roots α, β of the equation \[x^2 - px + 16 = 0\] satisfy the relation α2 + β2 = 9, then write the value P.
If the difference between the roots of the equation \[x^2 + ax + 8 = 0\] is 2, write the values of a.
Write roots of the equation \[(a - b) x^2 + (b - c)x + (c - a) = 0\] .
If a and b are roots of the equation \[x^2 - x + 1 = 0\], then write the value of a2 + b2.
If α, β are roots of the equation \[x^2 + lx + m = 0\] , write an equation whose roots are \[- \frac{1}{\alpha}\text { and } - \frac{1}{\beta}\].
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 ______.
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 number of roots of the equation \[\frac{(x + 2)(x - 5)}{(x - 3)(x + 6)} = \frac{x - 2}{x + 4}\] is
If the difference of the roots of \[x^2 - px + q = 0\] is unity, then
The least value of k which makes the roots of the equation \[x^2 + 5x + k = 0\] imaginary is
Find the value of P such that the difference of the roots of the equation x2 – Px + 8 = 0 is 2.
