Advertisements
Advertisements
Question
Which of the following are the roots of `3x^2+2x-1=0?`
`1/3`
Solution
On subtracting `x= 1/3` in the given equation , We get :
L.H.S = `3x^2x-1`
`=3xx(1/3)^2+2xx1/3-1`
=`3xx1/9+2/3-1`
`=(1+2-3)/3`
`=0/3`
=0
R.H.S
Thus, `(1/3)`is a root of `(3x^2+2x-1=0)`
APPEARS IN
RELATED QUESTIONS
Write the discriminant of the following quadratic equations:
`sqrt3x^2+2sqrt2x-2sqrt3=0`
Solve for x:
`1/x - 1/(x-2)=3`, x ≠ 0, 2
`x^2-6x+4=0`
`x-1/x=3,x≠0`
`x^2-(2b-1)x+(b^2-b-20)=0`
Find the nature of roots of the following quadratic equations:
`12x^2-4sqrt15x+5=0`
For what value of k are the roots of the quadratic equation `kx(x-2sqrt5)+10=0`real and equal.
For what values of p are the roots of the equation `4x^2+px+3=0` real and equal?
Find the value of p for which the quadratic equation `2x^2+px+8=0` has real roots.
A person on tour has ₹ 10800 for his expenses. If he extends his tour by 4 days, he has to cut down his daily expenses by ₹ 90. Find the original duration of the tour.
