Advertisements
Advertisements
प्रश्न
Discuss the nature of the roots of the following quadratic equations : `3x^2 - 2x + (1)/(3)` = 0
उत्तर
`3x^2 - 2x + (1)/(3)` = 0
Here a = 3, b = -2, c = `(1)/(3)`
∴ D = b2 - 4ac
= `(-2)^2 - 4 xx 3 xx (1)/(3)`
= 4 - 4
= 0
∵ D = 0
∴ Roots are real and equal.
APPEARS IN
संबंधित प्रश्न
Is it possible to design a rectangular mango grove whose length is twice its breadth, and the area is 800 m2? If so, find its length and breadth.
Find the values of k for which the roots are real and equal in each of the following equation:
kx(x - 2) + 6 = 0
Solve the following quadratic equation using formula method only
`5/4 "x"^2 - 2 sqrt 5 "x" + 4 = 0`
Find the nature of the roots of the following quadratic equations: `x^2 - (1)/(2)x - (1)/(2)` = 0
Find the least positive value of k for which the equation x2 + kx + 4 = 0 has real roots.
The quadratic equation whose one rational root is `3 + sqrt2` is
If the roots of the equations ax2 + 2bx + c = 0 and `"bx"^2 - 2sqrt"ac" "x" + "b" = 0` are simultaneously real, then
The roots of the equation (b – c) x2 + (c – a) x + (a – b) = 0 are equal, then:
State whether the following quadratic equation have two distinct real roots. Justify your answer.
x2 – 3x + 4 = 0
If the quadratic equation ax2 + bx + c = 0 has two real and equal roots, then 'c' is equal to ______.