Advertisements
Advertisements
प्रश्न
Find the value of the discriminant in the following quadratic equation :
`4 sqrt 3 "x"^2 + 5"x" - 2 sqrt 3 = 0`
Advertisements
उत्तर
`4 sqrt 3 "x"^2 + 5"x" - 2 sqrt 3 = 0`
Discriminant = b2 - 4ac
= `(5)^2 - 4( 4 sqrt 3)(-2 sqrt 3)`
= 25+ 96
= 121
APPEARS IN
संबंधित प्रश्न
Determine the nature of the roots of the following quadratic equation:
`3/5x^2-2/3x+1=0`
Write the discriminant of the quadratic equation (x + 5)2 = 2 (5x − 3).
Form the quadratic equation whose roots are:
`2 + sqrt(5) and 2 - sqrt(5)`.
Find the discriminant of the following equations and hence find the nature of roots: 3x2 + 2x - 1 = 0
Mohan and Sohan solve an equation. In solving Mohan commits a mistake in constant term and finds the roots 8 and 2. Sohan commits a mistake in the coefficient of x. The correct roots are:
Which constant must be added and subtracted to solve the quadratic equation `9x^2 + 3/4x - sqrt(2) = 0` by the method of completing the square?
Find the value of ‘k’ for which the quadratic equation 2kx2 – 40x + 25 = 0 has real and equal roots.
Find the value(s) of 'a' for which the quadratic equation x2 – ax + 1 = 0 has real and equal roots.
Find the value of ‘p’ for which the quadratic equation px(x – 2) + 6 = 0 has two equal real roots.
The roots of the quadratic equation x2 – 6x – 7 = 0 are ______.
