Advertisements
Advertisements
प्रश्न
(a) `3x-x^2=x^2+5` (b) `(x+2)^2=2(x^2-5)`
(c) `(sqrt2x+3)^2=2x^2+6` (d)` (x-1)^2=3x^2+x-2`
उत्तर
(c) `(sqrt2x+3)^2=2x^2+6`
∵` (sqrt2x+3)^2=2x^2+6`
⇒ `2x^2+9+6sqrt2x=2x^2+6`
⇒` 6sqrt2x+3=0` which is not a quadratic equation
APPEARS IN
संबंधित प्रश्न
The divisor and quotient of the number 6123 are same and the remainder is half the divisor. Find the divisor.
The roots of the equation `ax^2+bx+c=0` will be reciprocal each other if
(a)a=b (b)b=c (c)=a (d)= none of these
Find the solution of the quadratic equation `3sqrt3x^2+10x+sqrt3=0`
Solve` 2x^2+ax-a^2=0`
The total cost of a certain length of a piece of cloth is Rs 200. If the piece was 5 m longer and each metre of cloth costs Rs 2 less, the cost of the piece would have remained unchanged. How long is the piece and what is its original rate per metre ?
Which is the following equation quadratic?
x2 + 2x + 11 = 0
Two water taps together can fill a tank in `1 7/8` hours. The tap with a longer diameter takes 2 hours less than the tap with a smaller one to fill the tank separately. Find the time in which each tap can fill the tank separately.
In a right-angled triangle, altitude is 2 cm longer than its base. Find the dimensions of the right-angled triangle given that the length of its hypotenuse is 10 cm.
Let p and q be two positive numbers such that p + q = 2 and p4 + q4 = 272. Then p and q are roots of the equation ______.
If both the roots of the quadratic equation x2 – 2kx + k2 + k – 5 = 0 are less than 5, then k lies in the interval is ______.