Advertisements
Advertisements
प्रश्न
If (k – 3), (2k + l) and (4k + 3) are three consecutive terms of an A.P., find the value of k.
Advertisements
उत्तर
(k 3), (2k 1) and (4k 3) are three consecutive terms of an A.P.
⇒ 2(2k + 1) = (k - 3) + (4k + 3)
⇒ 4k + 2 = k - 3 + 4k + 3
⇒ 4k + 2 = 5k
⇒ k = 2
APPEARS IN
संबंधित प्रश्न
Find the values of k for which the roots are real and equal in each of the following equation:
(3k+1)x2 + 2(k + 1)x + k = 0
Find the values of k for which the roots are real and equal in each of the following equation:
(k + 1)x2 + 2(k + 3)x + (k + 8) = 0
Determine the nature of the roots of the following quadratic equation :
4x2 - 8x + 5 = 0
Solve the following quadratic equation using formula method only :
x2 +10x- 8= 0
In each of the following determine the; value of k for which the given value is a solution of the equation:
3x2 + 2kx - 3 = 0; x = `-(1)/(2)`
Without actually determining the roots comment upon the nature of the roots of each of the following equations:
x2 - 4x + 1 = 0
Values of k for which the quadratic equation 2x2 – kx + k = 0 has equal roots is ______.
Every quadratic equation has at least two roots.
Solve the equation: 3x2 – 8x – 1 = 0 for x.
Complete the following activity to determine the nature of the roots of the quadratic equation x2 + 2x – 9 = 0 :
Solution :
Compare x2 + 2x – 9 = 0 with ax2 + bx + c = 0
a = 1, b = 2, c = `square`
∴ b2 – 4ac = (2)2 – 4 × `square` × `square`
Δ = 4 + `square` = 40
∴ b2 – 4ac > 0
∴ The roots of the equation are real and unequal.
