Advertisements
Advertisements
Question
`3x^2-2x+2=0.b`
Solution
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
RELATED QUESTIONS
In the following, determine whether the given quadratic equation have real roots and if so, find the roots:
`3x^2+2sqrt5x-5=0`
Solve for x
`(x-1)/(x-2)+(x-3)/(x-4)=3 1/3`; x ≠ 2, 4
Which of the following are the roots of `3x^2+2x-1=0?`
`1/3`
`x^2-4x-1=0`
`2x^2+x-4=0`
`2x^2+6sqrt3x-60=0`
Find the nature of roots of the following quadratic equations:
`2x^2-8x+5=0`
Find the nonzero value of k for which the roots of the quadratic equation `9x^2-3kx+k=0` are real and equal.
If 3 is a root of the quadratic equation` x^2-x+k=0` find the value of p so that the roots of the equation `x^2+2kx+(k^2+2k+p)=0` are equal.
If the roots of the equation `(a^2+b^2)x^2-2(ac+bd)x+(c^2+d^2)=0`are equal, prove that `a/b=c/d`