Advertisements
Advertisements
प्रश्न
`3x^2-2x+2=0.b`
उत्तर
The given equation is `3x^2-2x+2=0`
Comparing it with `ax^2+bx+c=0`, We get
`a=3, b=-2 and c=2`
∴ Discriminant` D=b^2-4ac=(-2)^2-4xx3xx2=4-24=-20<0`
Hence, the given equation has no real roots (or real roots does not exist).
APPEARS IN
संबंधित प्रश्न
If the roots of the equation (a2 + b2) x2 – 2(ac + bd) x + (c2 + d2) = 0 are equal, prove that `a/b = c/d`
Write the discriminant of the following quadratic equations:
x2 - 2x + k = 0, k ∈ R
Write the discriminant of the following quadratic equations:
4x2 - 3kx + 1 = 0
In the following, determine whether the given quadratic equation have real roots and if so, find the roots:
16x2 = 24x + 1
`sqrt3x^2+2sqrt2x-2sqrt3=0`
For what value of k are the roots of the quadratic equation `kx(x-2sqrt5)+10=0`real and equal.
If -4 is a root of the equation `x^2+2x+4p=0` find the value of k for the which the quadratic equation ` x^2+px(1+3k)+7(3+2k)=0` has equal roots.
If the roots of the quadratic equation `(c^2-ab)x^2-2(a^2-bc)x+(b^2-ac)=0` are real and equal, show that either a=0 or `(a^3+b^3+c^3=3abc)`
Find the values of k for which the given quadratic equation has real and distinct roots:
`x^2-kx+9=0`
The denominator of a fraction is 3 more than its numerator. The sum of the fraction and its reciprocal is `2 9/10` Find the fraction.
