Advertisements
Advertisements
Question
Complete the following activity to form a quadratic equation.
Activity:
Solution
APPEARS IN
RELATED QUESTIONS
If x=3 is a solution of the equation `3x^2+(k-1)x+9=0` then k=?
(a) 11 (b)-11 (c)13 (d)-13
If one root of `5x^2+13x+k=0` be the reciprocal of the other root then the value of k is
`(a)0 (b)1 (c)2 (d)5`
If α and β are the roots of the equation `3x^2+8x+2=0` then (1/α+1/β)=?
(a)` -3/8` (b) `2/3` `(c) -4 (d)4`
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
If the roots of the equation` ax^2+bx+c=0` are equal then c=?
(a)`b/(2a)` (b) `b/(2a)` (c) `-b^2/(4a)` (d) `B^2/(4a)`
If one root of the quadratic equation `3x^2-10x+k=0` is reciprocal of the other , find the value of k.
Solve` 4sqrt3x^2+5x-2sqrt3=0`
Solve `4x^2+4bx-(a^2-b^2)=0`
If 1 is a root of the equations ay2 + ay + 3 = 0 and y2 + y + b = 0 then ab equals: ?
Write the following equations in the form ax2 + bx + c= 0, then write the values of a, b, c for each equation.
p(3+6p) = –5
A tank fills completely in 2 hours if both the taps are open. If only one of the taps is open at the given time, the smaller tap takes 3 hours more than the larger one to fill the tank. How much time does each tap take to fill the tank completely?
If 3x + 5y = 9 and 5x + 3y = 7 find the value of x + y.
Solve any four of the following.
Find the value of y in the equation x + y = 12, when x = 5
For the quadratic equation x2 + 10x – 7 = 0, the value of a, b, c are ______.
Solve the following quadratic equation :
x2 +8x + 15 = 0
Find c if the system of equations cx+3y+(3 - c ) = 0, 12x + cy - c = 0 has infinitely many solutions?
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.
If 460 is divided by a natural number, then quotient is 2 more than nine times the divisor and remainder is 5. Find the quotient and divisor.
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 ______.
