Advertisements
Advertisements
प्रश्न
Write the discriminant of the following quadratic equations:
x2 - 2x + k = 0, k ∈ R
उत्तर
We have been given, x2 - 2x + k = 0
Now we also know that for an equation ax2 + bx + c = 0, the discriminant is given by the following equation:
D = b2 - 4ac
Now, according to the equation given to us, we have,a = 1, b = -2 and c = k.
Therefore, the discriminant is given as,
D = (-2)2 - 4(1)(k)
= 4 - 4k
Therefore, the discriminant of the equation is 4 - 4k.
APPEARS IN
संबंधित प्रश्न
Solve for x
`(x-1)/(x-2)+(x-3)/(x-4)=3 1/3`; x ≠ 2, 4
Solve for x
`x+1/x=3`, x ≠ 0
`2x^2-5sqrt2x+4=0`
`sqrt3x^2+2sqrt2x-2sqrt3=0`
`2x^2+6sqrt3x-60=0`
`4sqrt3x^2+5x-2sqrt3=0`
`2sqrt3x^2-5x+sqrt3=0`
`x^2-(sqrt3+1)x+sqrt3=0`
Find the nature of roots of the following quadratic equations:
`x^2-x+2=0`
Show that the roots of the equation `x^2+px-q^2=0` are real for all real values of p and q.
