Advertisements
Advertisements
प्रश्न
If the quadratic equation px2 − 2√5px + 15 = 0 has two equal roots then find the value of p.
Advertisements
उत्तर
- a = p
- b = `-2sqrt5p`
- c = 15
Δ = b2 − 4ac
`(−2sqrt5p)^2−4(p)(15)=0`
`(2sqrt5p)^2 - 60p = 0`
4 × 5p2 − 60p = 0
20p2 − 60p = 0
20p(p − 3) = 0
p = 0 or p = 3
Since p = 0 would make the equation invalid, we take:
p = 3
APPEARS IN
संबंधित प्रश्न
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:
x2 - 4kx + k = 0
(3x - 5)(2x + 7) = 0
If `(2)/(3)` and – 3 are the roots of the equation px2+ 7x + q = 0, find the values of p and q.
Find the discriminant of the following equations and hence find the nature of roots: 2x2 + 15x + 30 = 0
If the difference of the roots of the equation x2 – bx + c = 0 is 1, then:
Find the value of ‘k’ for which the quadratic equation 2kx2 – 40x + 25 = 0 has real and equal roots.
If α and β are the distinct roots of the equation `x^2 + (3)^(1/4)x + 3^(1/2)` = 0, then the value of α96(α12 – 1) + β96(β12 – 1) is equal to ______.
If x = 3 is one of the roots of the quadratic equation x2 – 2kx – 6 = 0, then the value of k is ______.
