Advertisements
Advertisements
प्रश्न
Complete the following activity to find the value of discriminant for quadratic equation 4x2 – 5x + 3 = 0.
Activity: 4x2 – 5x + 3 = 0
a = 4, b = ______, c = 3
b2 – 4ac = (–5)2 – (______) × 4 × 3
= ( ______ ) – 48
b2 – 4ac = ______
Advertisements
उत्तर
4x2 – 5x + 3 = 0
a = 4, b = –5, c = 3
b2 – 4ac = (–5)2 – 4 × 4 × 3
= 25 – 48
∴ b2 – 4ac = −23
APPEARS IN
संबंधित प्रश्न
Find the values of k for which the roots are real and equal in each of the following equation:
2kx2 - 40x + 25 = 0
Find the values of k for which the roots are real and equal in each of the following equation:
4x2 - 3kx + 1 = 0
Find the values of k for which the roots are real and equal in each of the following equation:
(3k+1)x2 + 2(k + 1)x + k = 0
In the quadratic equation kx2 − 6x − 1 = 0, determine the values of k for which the equation does not have any real root.
Find if x = – 1 is a root of the equation 2x² – 3x + 1 = 0.
`sqrt(3)x^2 + 10x + 7sqrt(3)` = 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)`
Without actually determining the roots comment upon the nature of the roots of each of the following equations:
x2 + 5x + 15 = 0.
Discuss the nature of the roots of the following equation: `5x^2 - 6sqrt(5)x + 9` = 0
If roots of a quadratic equation 3y2 + ky + 12 = 0 are real and equal, then find the value of ‘k’.
If one root of the equation x2+ px + 12 = 0 is 4, while the equation x2 + px + q = 0 has equal roots, the value of q is:
If one root of the quadratic equation 2x2 + kx – 6 = 0 is 2, the value of k is:
The roots of the quadratic equation `1/("a" + "b" + "x") = 1/"a" + 1/"b" + 1/"x"`, a + b ≠ 0 is:
The roots of quadratic equation 5x2 – 4x + 5 = 0 are:
‘The sum of the ages of a boy and his sister (in years) is 25 and product of their ages is 150. Find their present ages.
If the quadratic equation ax2 + bx + c = 0 has two real and equal roots, then 'c' is equal to ______.
If one root of the quadratic equation 3x2 – 8x – (2k + 1) = 0 is seven times the other, then find the value of k.
When the discriminant satisfies \( D > 0 \), what is the nature of the roots of the quadratic equation?
What is the nature of the roots when the discriminant is negative, i.e. \( D < 0 \)?
