Advertisements
Advertisements
प्रश्न
Choose the correct answer from the given four options :
If the equation 3x² – kx + 2k =0 roots, then the the value(s) of k is (are)
पर्याय
6
0 Only
24 only
0
Advertisements
उत्तर
3x² – kx + 2k = 0
Here, a = 3, b = -k, c = 2k
b2 – 4ac
= (–k)2 – 4 x 3 x 2k
= k2 – 24k
∴ Roots are equal.
∴ b2 – 4ac = 0
∴ k2 – 24k = 0
⇒ k(k – 24) = 0
Either k = 0
or
k - 24 = 0,
then k = 24
∴ k = 0, 24.
APPEARS IN
संबंधित प्रश्न
Find the nature of the roots of the following quadratic equation. If the real roots exist, find them:
`3x^2 - 4sqrt3x + 4 = 0`
Is it possible to design a rectangular park of perimeter 80 and area 400 m2? If so find its length and breadth.
Solve for x using the quadratic formula. Write your answer corrected to two significant figures. (x - 1)2 - 3x + 4 = 0
Find the values of k for which the roots are real and equal in each of the following equation:
kx2 + kx + 1 = -4x2 - x
In the following determine the set of values of k for which the given quadratic equation has real roots:
2x2 + 3x + k = 0
Solve the following quadratic equation using formula method only
3x2 + 12 = 32 x
Solve for x: (x2 - 5x)2 - 7(x2 - 5x) + 6 = 0; x ∈ R.
In each of the following, determine whether the given numbers are roots of the given equations or not; 3x2 – 13x – 10 = 0; 5, `(-2)/(3)`
Discuss the nature of the roots of the following quadratic equations : `3x^2 - 2x + (1)/(3)` = 0
If α, β are roots of the equation x2 + 5x + 5 = 0, then equation whose roots are α + 1 and β + 1 is:
