Find the range of values of $k$ if the value of $\left( k+1 \right){{x}^{2}}+5k-4kx$ is always n

Question

Find the range of values of $k$ if the value of $\left( k+1 \right){{x}^{2}}+5k-4kx$ is always negative. Find the range of values of $k$ for which the expression $k{{x}^{2}}-8kx+25k-8$ is always negative for all real values of $x$.

Accepted Answer

(a) $k<-5$ (b) $k\le0$

Quadratic Functions, Equations and Inequalities - Nature of Roots of Quadratic Equations

Quadratic Functions, Equations and Inequalities - Nature of Roots of Quadratic Equations

Video Solution:

Solution:

Solution locked