Advertisements
Advertisements
प्रश्न
Solve the following quadratic equation using formula method only
`2x^2 - 2 . sqrt 6x + 3 = 0`
Advertisements
उत्तर
`2x^2 - 2 . sqrt 6x + 3 = 0`
a = 2 ; b = `-2 sqrt 6` ; c =3
D = `"b"^2 - 4 "ac"`
`= (- 2 sqrt 6)^2 - 4(2)(3)`
= 24 - 24
= 0
x = `(- "b" ± sqrt ("b"^2 - 4 "ac"))/(2a)`
x = `(-(- 2 sqrt 6) +- 0)/(2 xx 2)`
x = `sqrt 6/2`
APPEARS IN
संबंधित प्रश्न
Find the values of k for which the quadratic equation 9x2 - 3kx + k = 0 has equal roots.
If the roots of the equation (a2 + b2)x2 – 2(ac + bd)x + (c2 + d2) = 0 are equal, prove that `a/b = c/d`.
Find the value of the discriminant in the following quadratic equation :
10 x - `1/x` = 3
For what values of k, the roots of the equation x2 + 4x +k = 0 are real?
Find the value(s) of p for which the equation 2x2 + 3x + p = 0 has real roots.
Choose the correct answer from the given four options :
The value(s) of k for which the quadratic equation 2x² – kx + k = 0 has equal roots is (are)
Find the value(s) of k for which each of the following quadratic equation has equal roots: 3kx2 = 4(kx – 1)
If one root of the quadratic equation 2x2 + kx – 6 = 0 is 2, the value of k is:
Let α and β be the roots of the equation, 5x2 + 6x – 2 = 0. If Sn = αn + βn, n = 1, 2, 3, ....., then ______.
The nature of roots of the quadratic equation 9x2 – 6x – 2 = 0 is ______.
