Advertisements
Advertisements
प्रश्न
Discuss the nature of the roots of the following equation: 3x2 – 7x + 8 = 0
Advertisements
उत्तर
3x2 – 7x + 8 = 0
Here a = 3, b = –7, c = 8
∴ D = b2 – 4ac
= (–7)2 – 4 x 3 x 8
= 49 – 96
= –47
∵ D < 0
∴ Roots are not real.
APPEARS IN
संबंधित प्रश्न
Find the values of k for the following quadratic equation, so that they have two equal roots.
kx (x - 2) + 6 = 0
Find the value of p, for which one root of the quadratic equation px2 – 14x + 8 = 0 is 6 times the other.
Determine the nature of the roots of the following quadratic equation:
9a2b2x2 - 24abcdx + 16c2d2 = 0
Find the value of k for which the following equation has equal roots:
(k − 12)x2 + 2(k − 12)x + 2 = 0.
If one root of the quadratic equation ax2 + bx + c = 0 is double the other, prove that 2b2 = 9 ac.
Choose the correct answer from the given four options :
If the equation 2x² – 6x + p = 0 has real and different roots, then the values of p are given by
If the roots of the equations ax2 + 2bx + c = 0 and `"bx"^2 - 2sqrt"ac" "x" + "b" = 0` are simultaneously real, then
Every quadratic equations has at most two roots.
The roots of equation (q – r)x2 + (r – p)x + (p – q) = 0 are equal.
Prove that 2q = p + r; i.e., p, q, and r are in A.P.
Which of the following equations has two real and distinct roots?
