Advertisements
Advertisements
प्रश्न
Determine the nature of the roots of the following quadratic equation :
2x2 + 5x - 6 = 0
उत्तर
2x2 + 5x - 6 = 0
b2 - 4ac
= (5)2 - 4(2)(-6)
= 25 + 48
= 73
Since discriminant is positive, hence the roots are real and irrational.
APPEARS IN
संबंधित प्रश्न
If the quadratic equation px2 − 2√5px + 15 = 0 has two equal roots then find the value of p.
If -5 is a root of the quadratic equation 2x2 + px – 15 = 0 and the quadratic equation p(x2 + x)k = 0 has equal roots, find the value of k.
Find the values of k for which the roots are real and equal in each of the following equation:
`kx^2-2sqrt5x+4=0`
Find, using the quadratic formula, the roots of the following quadratic equations, if they exist
x2 + 4x + 5 = 0
ax2 + (4a2 - 3b)x - 12 ab = 0
Which of the following equations has 2 as a root?
The quadratic equation `2x^2 - sqrt(5)x + 1 = 0` has ______.
The sum of the roots of the quadratic equation 3x2 – 9x + 5 = 0 is:
Solve the quadratic equation: `x^2 + 2sqrt(2)x - 6` = 0 for x.
Find the discriminant of the quadratic equation `3x^2 - 2x + 1/3` = 0 and hence find the nature of its roots.