Advertisements
Advertisements
प्रश्न
Determine the nature of the roots of the following quadratic equation :
x2 -4x + 4=0
Advertisements
उत्तर
x2 -4x + 4=0
b2 - 4ac
= (-4)2- 4(1)(4)
= 16- 16
=0
Since discriminant is 01 hence the roots are real and equal .
APPEARS IN
संबंधित प्रश्न
Without solving the following quadratic equation, find the value of ‘p’ for which the roots are equal.
px2 – 4x + 3 = 0
Find the values of k for which the roots are real and equal in each of the following equation:
9x2 - 24x + k = 0
Determine the nature of the roots of the following quadratic equation :
2x2 -3x+ 4= 0
Write the discriminant of the quadratic equation (x + 5)2 = 2 (5x − 3).
In each of the following determine the; value of k for which the given value is a solution of the equation:
x2 + 2ax - k = 0; x = - a.
If x = 2 and x = 3 are roots of the equation 3x² – 2kx + 2m = 0. Find the values of k and m.
Find the value(s) of m for which each of the following quadratic equation has real and equal roots: (3m + 1)x2 + 2(m + 1)x + m = 0
Choose the correct answer from the given four options :
If the equation {k + 1)x² – 2(k – 1)x + 1 = 0 has equal roots, then the values of k are
Find the values of m so that the quadratic equation 3x2 – 5x – 2m = 0 has two distinct real roots.
Values of k for which the quadratic equation 2x2 – kx + k = 0 has equal roots is ______.
