Advertisements
Advertisements
प्रश्न
Decide whether the following equation is quadratic equation or not.
y2 = 5y – 10
उत्तर
y2 = 5y – 10
Only one variable y.
Maximum index = 2
So, it is a quadratic equation.
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
The roots of `ax^2+bx+c=0`,a≠0 are real and unequal, if `(b^2-4ac)` is
(a)>0 (b)=0 (c)<0 (d)none of these
If `x=-1/2` is a solution of the quadratic equation `3x^2+2kx-3=0`
Find the value of k.
Find the solution of the quadratic equation `3sqrt3x^2+10x+sqrt3=0`
Solve` 2x^2+ax-a^2=0`
Decide whether the following equation is quadratic equation or not.
m3 + 3m2 – 2 = 3m3
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
Suyash scored 10 marks more in second test than that in the first. 5 times the score of the second test is the same as square of the score in the first test. Find his score in the first test.
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.
\[\sqrt{5} m^2 - \sqrt{5}m + \sqrt{5} = 0\] which of the following statement is true for this given equation?
Which is the following equation quadratic?
x2 + 2x + 11 = 0
Is the following equation quadratic?
x2 - 2x + 5 = x2
If in an A. P., d = 10, find t6 - t2.
If 3x + 5y = 9 and 5x + 3y = 7 find the value of x + y.
Solve any two of the following.
Solve : `3x+y=14 ; x-y=2`
Obtain a quadratic equation whose roots are –3 and –7.
Write the quadratic equation 7 = 4x - x2 in the form of ax2+bx + c = 0.
For the quadratic equation 3x2 + 2x - 1 = 0 , find the value of the discriminant.
Find c if the system of equations cx + 3y + (3 – c) = 0; 12x + cy – c = 0 has infinitely many solutions?
