Advertisements
Advertisements
Question
`sqrt3x^2+2sqrt2x-2sqrt3=0`
Solution
Here,
`a=sqrt3`
`b=2sqrt2`
`c=-2sqrt3`
Discriminant D is given by:
`D=b^2-4ac`
=`(2sqrt2)^2-4xxsqrt3xx(-2sqrt3)`
=`(4xx2)+(8xx3)`
=32
APPEARS IN
RELATED QUESTIONS
In the following, determine whether the given quadratic equation have real roots and if so, find the roots:
3x2 - 2x + 2 = 0
Which of the following are the roots of` 3x^2+2x-1=0?`
-1
`sqrt2x^2+7+5sqrt2=0`
`36x^2-12ax+(a^2-b^2)=0`
`12abx^2-(9a^2-8b^2)x-6ab=0,` `Where a≠0 and b≠0`
For what values of k are the roots of the quadratic equation `3x^2+2kx+27` 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.
Find the value of p for which the quadratic equation `2x^2+px+8=0` has real roots.
Find the values of k for which the given quadratic equation has real and distinct root:
`5x^2-kx+1=0`
Find the value of a for which the equation `(α-12)x^2+2(α-12)x+2=0` has equal roots.
