Advertisements
Advertisements
प्रश्न
Solve the equation `sqrt3 x^2 - sqrt2x + 3sqrt3 = 0`
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
APPEARS IN
संबंधित प्रश्न
Solve the equation 2x2 + x + 1 = 0
Solve the equation –x2 + x – 2 = 0
Solve the equation x2 + 3x + 5 = 0
Solve the equation x2 – x + 2 = 0
Solve the equation `x^2 + x + 1/sqrt2 = 0`
Solve the equation `3x^2 - 4x + 20/3 = 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
\[x^2 - 4x + 7 = 0\]
\[x^2 + x + 1 = 0\]
\[17 x^2 + 28x + 12 = 0\]
\[x^2 + x + \frac{1}{\sqrt{2}} = 0\]
\[x^2 + \frac{x}{\sqrt{2}} + 1 = 0\]
\[\sqrt{5} x^2 + x + \sqrt{5} = 0\]
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:
\[x^2 - \left( 3\sqrt{2} + 2i \right) x + 6\sqrt{2i} = 0\]
Solve the following quadratic equation:
\[x^2 + 4ix - 4 = 0\]
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 α, β are roots of the equation \[x^2 - a(x + 1) - c = 0\] then write the value of (1 + α) (1 + β).
The complete set of values of k, for which the quadratic equation \[x^2 - kx + k + 2 = 0\] has equal roots, consists of
If α, β are roots of the equation \[4 x^2 + 3x + 7 = 0, \text { then } 1/\alpha + 1/\beta\] is equal to
If α, β are the roots of the equation \[a x^2 + bx + c = 0, \text { then } \frac{1}{a\alpha + b} + \frac{1}{a\beta + b} =\]
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 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
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
If α and β are the roots of \[4 x^2 + 3x + 7 = 0\], then the value of \[\frac{1}{\alpha} + \frac{1}{\beta}\] 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 a such that the sum of the squares of the roots of the equation x2 – (a – 2)x – (a + 1) = 0 is least.