Advertisements
Advertisements
Question
If the roots of the quadratic equation `px(x-2)+=0` are equal, find the value of p
Solution
It is given that the roots of the quadratic equation` px^2-2px+6=0`
are equal.
∴`D=0`
⇒`(-2p)^2-4xxpxx6=0`
⇒`4p^2-24p=0`
⇒`4p(p-6)=0`
⇒`p=0 or p-6=0`
⇒`p=0 or p=6`
For p=0,we get 6 =0, which is not true.
∴ `p≠0`
Hence, the value of p is 6.
APPEARS IN
RELATED QUESTIONS
If one of the roots of the quadratic equation x2 - 11x + k = 0 is 9, then find the value of k
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)`
Solve `3x^2+5sqrt5x-10=0`
Decide whether the following equation is quadratic equation or not.
y2 = 5y – 10
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)
Vivek is older than Kishor by 5 years. The sum of the reciprocals of their ages is \[\frac{1}{6}\] Find their present ages.
Obtain a quadratic equation whose roots are –3 and –7.
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.
Find k, one of the roots of the quadratic equation kx2 - 7x + 12 = 0 is 3.
Write the degree of Polynomial 5x2 + 2x + 3x4 + 4.
