Fermi · Concept Library · Courses · Books · Problems · Simulations · Math Wiki · High School Fermi › Problems Determine the set of values of for which the quadratic equation has no real roots.
MATHEMATICS · Single correct · CBSE · Mathematics · Quadratic Equations · Quadratic Equations
Problem Determine the set of values of k k k x 2 + 2 k x + ( k + 3 ) = 0 x^{2}+2kx+(k+3)=0 x 2 + 2 k x + ( k + 3 ) = 0 k < 1 − 13 2 or k > 1 + 13 2 k<\dfrac{1-\sqrt{13}}{2}\;\text{or}\;k>\dfrac{1+\sqrt{13}}{2} k < 2 1 − 13 or k > 2 1 + 13 1 − 13 2 < k < 1 + 13 2 \dfrac{1-\sqrt{13}}{2}<k<\dfrac{1+\sqrt{13}}{2} 2 1 − 13 < k < 2 1 + 13 1 − 13 2 ≤ k ≤ 1 + 13 2 \dfrac{1-\sqrt{13}}{2}\le k\le\dfrac{1+\sqrt{13}}{2} 2 1 − 13 ≤ k ≤ 2 1 + 13 1 − 13 4 < k < 1 + 13 4 \dfrac{1-\sqrt{13}}{4}<k<\dfrac{1+\sqrt{13}}{4} 4 1 − 13 < k < 4 1 + 13 Browse the problem library