Advertisements
Advertisements
Question
Decide whether the following equation is quadratic equation or not.
x2 + 5x – 2 = 0
Solution
x2 + 5x – 2 = 0
Only one variable x.
Maximum index = 2
So, it is a quadratic equation.
APPEARS IN
RELATED QUESTIONS
A train covers a distance of 300 km at a uniform speed. If the speed of the train is increased by 5 km/hour, it takes 2 hours less in the journey. Find the original speed of the train
Which of the following is a quadratic equation?
(a) `x^3-3sqrtx+2=0` (b) `x+1/x=x^2`
(c)` x^2+1/x^2=5` (d) `2x^2-5x=(x-1)^2`
If one root of the equation` 3x^2-10x+3=0 is 1/3` then the other root is
(a) `-1/3` (b) `1/3` (c)`-3` (d)`3`
If the sum of the roots of a quadratic equation is 6 and their product is 6, the equation is
(a)`x^2-6x+6=0` (b)` x^2+6x+6=0` (c)`x^2-6x-6=0` (d)`x^2+6x+6=0`
Show the x= -3 is a solution of `x^2+6x+9=0`
Show that x= -2 is a solution of `3x^2+13x+14=0`
If one root of the quadratic equation `3x^2-10x+k=0` is reciprocal of the other , find the value of k.
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 ?
Decide whether the following equation is quadratic equation or not.
`"y"^2 + 1/"y" = 2`
Write the following equation in the form ax2 + bx + c= 0, then write the values of a, b, c for the equation.
x2 + 5x = –(3 – x)
Choose the correct answer for the following question.
For \[\sqrt{2} x^2 - 5x + \sqrt{2} = 0\] find the value of the discriminant.
Mr. Dinesh owns an agricultural farm at village Talvel. The length of the farm is 10 meter more than twice the breadth. In order to harvest rain water, he dug a square shaped pond inside the farm. The side of pond is `1/3` of the breadth of the farm. The area of the farm is 20 times the area of the pond. Find the length and breadth of the farm and of the pond.
Obtain a quadratic equation whose roots are –3 and –7.
Find c if the system of equations cx+3y+(3 - c ) = 0, 12x + cy - c = 0 has infinitely many solutions?
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.
Write the degree of Polynomial 5x2 + 2x + 3x4 + 4.
If the value of determinants `|(3, 4),(-2, "x")|` is 23, then find the value of` x.
Mukund has ₹ 50 more than Sagar. If the product of the amount they have is 15,000, then find the amount each has
Present age of mother of Manish is 1 year more than 5 times the present age of Manish. Four years before, if the product of their ages was 22, then find the present age of Manish and his mother
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 ______.
