Advertisements
Advertisements
प्रश्न
Find the discriminant of the following equations and hence find the nature of roots: 7x2 + 8x + 2 = 0
Advertisements
उत्तर
7x2 + 8x + 2 = 0
Here a = 7, b = 8, c = 2
∴ D = b2 - 4ac
= (8)2 - 4 x 7 x 2
= 64 - 56
= 8
∴ Discriminant = 8
∵ D > 0
∴ Roots 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.
Solve for x using the quadratic formula. Write your answer corrected to two significant figures. (x - 1)2 - 3x + 4 = 0
If p, q are real and p ≠ q, then show that the roots of the equation (p − q) x2 + 5(p + q) x− 2(p − q) = 0 are real and unequal.
The equation `3x^2 – 12x + (n – 5) = 0` has equal roots. Find the value of n.
If a = 1, b = 8 and c = 15, then find the value of `"b"^2 - 4"ac"`
Determine whether the given quadratic equations have equal roots and if so, find the roots:
x2 + 5x + 5 = 0
Find the values of k so that the sum of tire roots of the quadratic equation is equal to the product of the roots in each of the following:
kx2 + 2x + 3k = 0
Every quadratic equation has exactly one root.
Find whether the following equation have real roots. If real roots exist, find them.
–2x2 + 3x + 2 = 0
If α, β are roots of the equation x2 + px – q = 0 and γ, δ are roots of x2 + px + r = 0, then the value of (α – y)(α – δ) is ______.
