Advertisements
Advertisements
प्रश्न
Choose the correct answer for the following question.
\[\sqrt{5} m^2 - \sqrt{5}m + \sqrt{5} = 0\] which of the following statement is true for this given equation?
पर्याय
Real and uneual roots
Real and equal roots
Roots are not real
Three roots
उत्तर
For the given quadratic equation \[\sqrt{5} m^2 - \sqrt{5}m + \sqrt{5} = 0\]
\[\text{D} = b^2 - 4ac = \left( - \sqrt{5} \right)^2 - 4 \times \sqrt{5} \times \sqrt{5} = 5 - 20 = - 15\]
Since D < 0 so, the roots are not real.
Hence, the correct answer is Roots are not real.
APPEARS IN
संबंधित प्रश्न
The divisor and quotient of the number 6123 are same and the remainder is half the divisor. Find the divisor.
Which of the following is a quadratic equation?
(a)` (x^2+1)=(2-x)^2+3` (b)` x^3-x^2=(x-1)^3`
(c) `2x^+3=(5+x)(2x-3)` (d) None of these
If one root of the equation `2x^2+ax+6=0` 2 then a=?
(a)7 (b)-7 (c) 7/2 (d)-7/2
The sum of the roots of the equation` x^2-6x+2=0`
(a) 2 (b)-2 (c)6 (d)-6
If the equation `9x^26kx+4=0` has equal roots then k =?
(a)1 or (b)-1 or 4 (c)1 or -4 (d)-1 or -4
In the equation `ax^2+bx+c=0` it is given that `D=(b^2-4ac)>0`
equation are
(a) real and equal (b) real and unequal (c) imaginary (d) none of these
If the roots of` 5x^2-k+1=0` are real and distinct then
(a)`-2sqrt5<k2<sqrt5` (b)` k>2sqrt5 ` only
(c)` k<-2sqrt5` (d) either `k>2sqrt5 or k<-2sqrt5`
Solve `x^2-(sqrt3+1)x+sqrt3=0`
Solve `3x^2+5sqrt5x-10=0`
If 1 is a root of the equations ay2 + ay + 3 = 0 and y2 + y + b = 0 then ab equals: ?
Pratik takes 8 hours to travel 36 km downstream and return to the same spot. The speed of boat in still water is 12 km. per hour. Find the speed of water current.
Solve the following quadratic equation.
\[x^2 - \frac{3x}{10} - \frac{1}{10} = 0\]
Which of the following is a quadratic equation ?
If P(y) = y² - 2y + 5, find P(2) .
Write the following equation in the form ax2 + bx + c= 0, then write the values of a, b, c for equation.
P(3+6p) = –5
A boat goes 30 km upstream and 44 km downstream in 10 hours. In 13 hours, it can go 40 km upstream and 55 km downstream. Determine the speed of the stream and that of the boat in still water.
Two water taps together can fill a tank in `1(7)/(8)` hours. The tap with 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 an orchard there are total 200 trees. If the number of trees in each column is more by 10 than the number of trees in each row, then find the number of trees in each row
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 ______.
A tank can be filled up by two taps in 6 hours. The smaller tap alone takes 5 hours more than the bigger tap alone. Find the time required by each tap to fill the tank separately.
