Advertisements
Advertisements
प्रश्न
Determine the nature of the roots of the following quadratic equation :
2x2 + 5x - 6 = 0
Advertisements
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
Find the nature of the roots of the following quadratic equation. If the real roots exist, find them:
2x2 – 3x + 5 = 0
Find the value of k for which the equation x2 + k(2x + k – 1) + 2 = 0 has real and equal roots.
Find the values of k for which the roots are real and equal in the following quadratic equation:
4x2 – 2(k + 1)x + (k + 4) = 0
Find the value of the discriminant in the following quadratic equation:
2x2 - 5x + 3 = 0
Determine the nature of the roots of the following quadratic equation :
x2 +3x+1=0
ax2 + (4a2 - 3b)x - 12 ab = 0
Which of the following equations has 2 as a root?
Find the value(s) of k for which each of the following quadratic equation has equal roots: 3kx2 = 4(kx – 1)
Every quadratic equations has at most two roots.
Solve for x: 9x2 – 6px + (p2 – q2) = 0
