Advertisements
Advertisements
प्रश्न
Find the nature of the roots of the quadratic equation:
4x2 – 5x – 1 = 0
Advertisements
उत्तर
Given quadratic equation is: 4x2 – 5x – 1 = 0
Comparing the above equation with ax2 + bx + c = 0,
We get a = 4, b = –5 and c = –1
Now, b2 – 4ac = (–5)2 – 4(4)(–1)
= 25 + 16
= 41 > 0
Hence, roots of the quadratic equation are real and distinct.
APPEARS IN
संबंधित प्रश्न
Find the value of k for which the equation x2 + k(2x + k − 1) + 2 = 0 has real and equal roots.
Find the value of the discriminant in the following quadratic equation:
2x2 - 3x + 1 = O
Determine the nature of the roots of the following quadratic equation :
x2 +3x+1=0
Determine the nature of the roots of the following quadratic equation :
x2 -5x+ 7= 0
`10x -(1)/x` = 3
Which of the following equations has no real roots?
State whether the following quadratic equation have two distinct real roots. Justify your answer.
`2x^2 - 6x + 9/2 = 0`
Find the roots of the quadratic equation by using the quadratic formula in the following:
–x2 + 7x – 10 = 0
If 4 is a root of equation x2 + kx – 4 = 0; the value of k is ______.
One root of equation 3x2 – mx + 4 = 0 is 1, the value of m is ______.
