Advertisements
Advertisements
प्रश्न
Solve the following quadratic equation using formula method only
`2"x"^2- 2 sqrt 6 + 3 = 0`
Advertisements
उत्तर
`2"x"^2- 2 sqrt 6 + 3 = 0`
a = 2 ; b = `- 2 sqrt 6 "x"` ; c = 3
D = b2 - 4ac
= (- 2 sqrt 6)2 - 4(2)(3)
= 12 - 24
= -12
x = `(- "b" ± sqrt ("b"^2 - 4 "ac"))/(2a)`
x = `(2 sqrt 6 +- sqrt -12)/2`
x = `(2 sqrt 6)/4`
x = `sqrt 6/2`
APPEARS IN
संबंधित प्रश्न
If `x=2/3` and x =−3 are roots of the quadratic equation ax2 + 7x + b = 0, find the values of a and b.
Solve the following quadratic equation using formula method only
5x2 - 19x + 17 = 0
Find if x = – 1 is a root of the equation 2x² – 3x + 1 = 0.
If `sqrt(2)` is a root of the equation `"k"x^2 + sqrt(2x) - 4` = 0, find the value of k.
Find the value(s) of m for which each of the following quadratic equation has real and equal roots: x2 + 2(m – 1) x + (m + 5) = 0
If the roots of the given quadratic equation are real and equal, then find the value of ‘m’.
(m – 12)x2 + 2(m – 12)x + 2 = 0
Find the value of 'p' for which the quadratic equation p(x – 4)(x – 2) + (x –1)2 = 0 has real and equal roots.
The probability of selecting integers a ∈ [–5, 30] such that x2 + 2(a + 4)x – 5a + 64 > 0, for all x ∈ R, is ______.
Find the value of ‘p’ for which the quadratic equation px(x – 2) + 6 = 0 has two equal real roots.
The nature of roots of the quadratic equation 9x2 – 6x – 2 = 0 is ______.
