Advertisements
Advertisements
प्रश्न
If one root of the quadratic equation `3x^2-10x+k=0` is reciprocal of the other , find the value of k.
उत्तर
Let α and β be the roots of the equation `3x^2-10x+k=0`
∴` α=1/β` (Given)
⇒ `αβ=1`
⇒`k/3=1` (Product of the roots =`c/a)`
⇒` k=3`
Hence, the value of k is 3.
APPEARS IN
संबंधित प्रश्न
If the equation `x^2+5kx+16=0` has no real roots then
(a)`k>8/5` (b) `k(-8)/5`
(c)` (-8)/5<k<8/5` (d) None Of these
Find the roots of the quadratic equation `2x^2-x-6=0`
If the roots of the quadratic equation `2x^2+8x+k=0` are equal then find the value of k.
Solve `sqrt3x^2-2sqrt2x-2sqrt3=0`
Solve `x^2+6x-(a^2+2a-8)=0`
Write any two quadratic equations.
Write the following equation in the form ax2 + bx + c= 0, then write the values of a, b, c for the equation.
x2 – 9 = 13
Write the following equation in the form ax2 + bx + c= 0, then write the values of a, b, c for equation.
P(3+6p) = –5
Find k, one of the roots of the quadratic equation kx2 - 7x + 12 = 0 is 3.
If both the roots of the quadratic equation x2 – 2kx + k2 + k – 5 = 0 are less than 5, then k lies in the interval is ______.
