Advertisements
Advertisements
प्रश्न
is the following equation quadratic?
\[\left( x + 2 \right)^2 = 2 x^2\]
उत्तर
\[\left( x + 2 \right)^2 = 2 x^2\]
\[\Rightarrow x^2 + 4 + 4x = 2 x^2 \]
\[ \Rightarrow x^2 - 4x - 4 = 0\]
It is in the form of a quadratic equation.
APPEARS IN
संबंधित प्रश्न
The sum of the roots of the equation` x^2-6x+2=0`
(a) 2 (b)-2 (c)6 (d)-6
If the equation `9x^26kx+4=0` has equal roots then k =?
(a)1 or (b)-1 or 4 (c)1 or -4 (d)-1 or -4
In the equation `ax^2+bx+c=0` it is given that `D=(b^2-4ac)>0`
equation are
(a) real and equal (b) real and unequal (c) imaginary (d) none of these
If the equation `x^2-5x+1=0` has no real roots then
(a)`k<-2`
(b)`k>2`
(c) `-2<k<2`
(d) None of these
For what value of k, the equation `kx^2-6x2=0` has real roots?
(a) `k≤-9/2` (b)`k≥-9/2`
(c)` k≤-2` (d) None of these
Show the x= -3 is a solution of `x^2+6x+9=0`
If one zero of the polynomial `x^2-4x+1 is (2+sqrt3)` write the other zero.
If 1 is a root of the equations ay2 + ay + 3 = 0 and y2 + y + b = 0 then ab equals: ?
Solve for x: `3x^2-2sqrt6x+2=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.
(x – 1)2 = 2x + 3
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
Which one is the quadratic equation?
Choose the correct answer for the following question.
Out of the following equations which one is not a quadratic equation?
Choose the correct answer for the following question.
For \[\sqrt{2} x^2 - 5x + \sqrt{2} = 0\] find the value of the discriminant.
Choose the correct answer for the following question.
Out of the following equations, find the equation having the sum of its roots –5.
Convert 15 : 20 into percentage.
If P(y) = y² - 2y + 5, find P(2) .
Solve any two of the following.
Solve : `3x+y=14 ; x-y=2`
