Question

determine the value of k (k+1)x^2+2(k+3)x+(2K+3)=0

Answer 1

Discriminant nikal aur check kar answer aajayega

Answer 2

Simplifying (k + 1) * x2 + 2(k + 3) * x + (2k + 3) = 0 Reorder the terms: (1 + k) * x2 + 2(k + 3) * x + (2k + 3) = 0 Reorder the terms for easier multiplication: x2(1 + k) + 2(k + 3) * x + (2k + 3) = 0 (1 * x2 + k * x2) + 2(k + 3) * x + (2k + 3) = 0 Reorder the terms: (kx2 + 1x2) + 2(k + 3) * x + (2k + 3) = 0 (kx2 + 1x2) + 2(k + 3) * x + (2k + 3) = 0 Reorder the terms: kx2 + 1x2 + 2(3 + k) * x + (2k + 3) = 0 Reorder the terms for easier multiplication: kx2 + 1x2 + 2x(3 + k) + (2k + 3) = 0 kx2 + 1x2 + (3 * 2x + k * 2x) + (2k + 3) = 0 Reorder the terms: kx2 + 1x2 + (2kx + 6x) + (2k + 3) = 0 kx2 + 1x2 + (2kx + 6x) + (2k + 3) = 0 Reorder the terms: kx2 + 1x2 + 2kx + 6x + (3 + 2k) = 0 Remove parenthesis around (3 + 2k) kx2 + 1x2 + 2kx + 6x + 3 + 2k = 0 Reorder the terms: 3 + 2k + 2kx + kx2 + 6x + 1x2 = 0 Solving 3 + 2k + 2kx + kx2 + 6x + 1x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 2k + 2kx + kx2 + 6x + -3 + 1x2 = 0 + -3 Reorder the terms: 3 + -3 + 2k + 2kx + kx2 + 6x + 1x2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2k + 2kx + kx2 + 6x + 1x2 = 0 + -3 2k + 2kx + kx2 + 6x + 1x2 = 0 + -3 Combine like terms: 0 + -3 = -3 2k + 2kx + kx2 + 6x + 1x2 = -3 Add '-6x' to each side of the equation. 2k + 2kx + kx2 + 6x + -6x + 1x2 = -3 + -6x Combine like terms: 6x + -6x = 0 2k + 2kx + kx2 + 0 + 1x2 = -3 + -6x 2k + 2kx + kx2 + 1x2 = -3 + -6x Add '-1x2' to each side of the equation. 2k + 2kx + kx2 + 1x2 + -1x2 = -3 + -6x + -1x2 Combine like terms: 1x2 + -1x2 = 0 2k + 2kx + kx2 + 0 = -3 + -6x + -1x2 2k + 2kx + kx2 = -3 + -6x + -1x2 Reorder the terms: 3 + 2k + 2kx + kx2 + 6x + x2 = -3 + -6x + -1x2 + 3 + 6x + x2 Reorder the terms: 3 + 2k + 2kx + kx2 + 6x + x2 = -3 + 3 + -6x + 6x + -1x2 + x2 Combine like terms: -3 + 3 = 0 3 + 2k + 2kx + kx2 + 6x + x2 = 0 + -6x + 6x + -1x2 + x2 3 + 2k + 2kx + kx2 + 6x + x2 = -6x + 6x + -1x2 + x2 Combine like terms: -6x + 6x = 0 3 + 2k + 2kx + kx2 + 6x + x2 = 0 + -1x2 + x2 3 + 2k + 2kx + kx2 + 6x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 3 + 2k + 2kx + kx2 + 6x + x2 = 0 The solution to this equation could not be determined.