Advertisements
Advertisements
प्रश्न
Discuss the nature of the roots of the following equation: 3x2 – 7x + 8 = 0
Advertisements
उत्तर
3x2 – 7x + 8 = 0
Here a = 3, b = –7, c = 8
∴ D = b2 – 4ac
= (–7)2 – 4 x 3 x 8
= 49 – 96
= –47
∵ D < 0
∴ Roots are not real.
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`
Solve for x using the quadratic formula. Write your answer corrected to two significant figures. (x - 1)2 - 3x + 4 = 0
Find the value of the discriminant in the following quadratic equation :
`4 sqrt 3 "x"^2 + 5"x" - 2 sqrt 3 = 0`
Determine the nature of the roots of the following quadratic equation :
x2 -5x+ 7= 0
Solve the following quadratic equation using formula method only
x2 - 4x - 1 = 0
Solve x2/3 + x1/3 - 2 = 0.
In each of the following determine the; value of k for which the given value is a solution of the equation:
3x2 + 2kx - 3 = 0; x = `-(1)/(2)`
If one root of the quadratic equation ax2 + bx + c = 0 is double the other, prove that 2b2 = 9 ac.
The quadratic equation `2x^2 - sqrt(5)x + 1 = 0` has ______.
(x2 + 1)2 – x2 = 0 has ______.
