Advertisements
Advertisements
प्रश्न
Find the values of k so that the sum of tire roots of the quadratic equation is equal to the product of the roots in each of the following:
kx2 + 2x + 3k = 0
Advertisements
उत्तर
kx2 + 2x + 3k = 0.
Here, a = k, b = 2, and c = 3k.
Sum of roots = `-b/a = -(2)/k`
Product of root = `c/a`
= `(3k)/k`
= 3
Sum of roots = Product of roots
`-(2)/k = 3`
⇒ 3k = -2
⇒ k = `-(2)/(3)`.
संबंधित प्रश्न
Find the value of p, for which one root of the quadratic equation px2 – 14x + 8 = 0 is 6 times the other.
Determine the nature of the roots of the following quadratic equation :
4x2 - 8x + 5 = 0
Determine the nature of the roots of the following quadratic equation :
2x2 + 5x - 6 = 0
Solve the following quadratic equation using formula method only
`"x"^2 + 1/2 "x" - 1 = 0`
Find the value (s) of k for which each of the following quadratic equation has equal roots : kx2 – 4x – 5 = 0
If the equation x2 – (2 + m)x + (–m2 – 4m – 4) = 0 has coincident roots, then:
Find the nature of the roots of the quadratic equation:
4x2 – 5x – 1 = 0
Find the value of ‘p’ for which the quadratic equation px(x – 2) + 6 = 0 has two equal real roots.
Find the value of k for which the roots of the quadratic equation 5x2 – 10x + k = 0 are real and equal.
Equation 2x2 – 3x + 1 = 0 has ______.
