Advertisements
Advertisements
प्रश्न
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)
उत्तर
x2 + 5x = –(3 – x)
\[\Rightarrow x^2 + 5x + 3 - x = 0\]
\[ \Rightarrow x^2 + 4x + 3 = 0\]
So, it is of the form ax2 + bx + c = 0 where a = 1, b = 4 and c = 3.
APPEARS IN
संबंधित प्रश्न
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 equation `x^2+5kx+16=0` has no real roots then
(a)`k>8/5` (b) `k(-8)/5`
(c)` (-8)/5<k<8/5` (d) None Of these
The perimeter of a rectangle is 82m and its area is `400m^2` . The breadth of the rectangle is
(a) 25m (b)20m
(c) 16m (d)9m
Show that x= -2 is a solution of `3x^2+13x+14=0`
Find the value of k so that the quadratic equation` x^2-4kx+k=0`
has equal roots.
Solve `x^2-(sqrt3+1)x+sqrt3=0`
Solve` 4sqrt3x^2+5x-2sqrt3=0`
Solve `x^2+5x-(a^2+a-6)=0`
Solve `x^2+6x-(a^2+2a-8)=0`
If 1 is a root of the equations ay2 + ay + 3 = 0 and y2 + y + b = 0 then ab equals: ?
Decide whether the following equation is quadratic equation or not.
x2 + 5x – 2 = 0
Decide whether the following equation is quadratic equation or not.
`"y"^2 + 1/"y" = 2`
Vivek is older than Kishor by 5 years. The sum of the reciprocals of their ages is \[\frac{1}{6}\] Find their present ages.
Solve the following quadratic equation.
\[x^2 - \frac{3x}{10} - \frac{1}{10} = 0\]
Select the correct alternative and write it.
What is the solution of the quadratic equation ` 2x^2-7x+6=0`
Solve the following quadratic equation :
x2 +8x + 15 = 0
Write the quadratic equation 7 = 4x - x2 in the form of ax2+bx + c = 0.
Find the value of k for which the quadratic equation kx (x − 2) + 6 = 0 has two equal roots.
Solve for x : `1/(2a + b + 2x) =1/(2a) + 1/b + 1/(2x); x ≠ 0, x ≠ (−2a −b)/2`, a, b ≠ 0
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 ______.