Advertisements
Advertisements
प्रश्न
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
उत्तर
p(3+6p) = –5
\[\Rightarrow 3 p + 6p^2 + 5 = 0\]
\[ \Rightarrow 6p^2 + 3p + 5= 0\]
So, it is of the form ax2 + bx + c = 0 where a = 6, b = 3 and c = 5.
APPEARS IN
संबंधित प्रश्न
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^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
(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`
Solve `4x^2+4bx-(a^2-b^2)=0`
Write the following equation in the form ax2 + bx + c = 0, then write the values of a, b, c for the equation.
(x – 1)2 = 2x + 3
Choose the correct answer for the following question.
The roots of x2 + kx + k = 0 are real and equal, find k.
Is the following equation quadratic?
x2 - 2x + 5 = x2
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.
Solve the following quadratic equation.
`1/(x + 5) = 1/x^2`
Solve the following quadratic equation.
x2 - 4x - 3 = 0
Find the value of m so that the quadratic equation mx (x − 7) + 49 = 0 has two equal roots.
If in an A. P., d = 10, find t6 - t2.
Select the correct alternative and write it.
What is the solution of the quadratic equation ` 2x^2-7x+6=0`
Obtain a quadratic equation whose roots are –3 and –7.
Complete the following activity to form a quadratic equation.
Activity:
Construct a word problem on quadratic equation, such that one of its answers is 20 (years, rupees, centimeter, etc.). Also, solve it.
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.
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 ______.
