Advertisements
Advertisements
Question
Determine the nature of the roots of the following quadratic equation :
x2 -4x + 4=0
Solution
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
RELATED QUESTIONS
Find the values of k for which the roots are real and equal in each of the following equation:
`kx^2-2sqrt5x+4=0`
Find the values of k for which the roots are real and equal in each of the following equation:
2kx2 - 40x + 25 = 0
Solve the following quadratic equation using formula method only
16x2 - 24x = 1
Find the value of k for which the roots of the equation 3x2 -10x +k = 0 are reciprocal of each other.
Find the value (s) of k for which each of the following quadratic equation has equal roots : (k – 4) x2 + 2(k – 4) x + 4 = 0
Choose the correct alternative answer for the following sub questions and write the correct alphabet.
If the root of the given quadratic equation are real and equal, then find the value of ‘k’ X2 + 2X + k = 0
If (x – a) is one of the factors of the polynomial ax2 + bx + c, then one of the roots of ax2 + bx + c = 0 is:
State whether the following quadratic equation have two distinct real roots. Justify your answer.
(x + 4)2 – 8x = 0
Find the roots of the quadratic equation by using the quadratic formula in the following:
–3x2 + 5x + 12 = 0
If α and β be the roots of the equation x2 – 2x + 2 = 0, then the least value of n for which `(α/β)^n` = 1 is ______.