Tim Gan Math
Sign up free

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

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

TGM Original Questions
  1. Find the range of values of \(k\) for which \(4{{x}^{2}}-8x+k\) is always positive.
  2. Find the range of values of \(k\) for which \(2{{x}^{2}}+{{k}^{2}}+5-2\left( k+3 \right)x\) is always positive.

Video Solution:

Video Solution

Video solution locked

A free account saves your progress; this video needs tuition enrolment.

Create free accountSign inMath tuition

Solution:

Solution locked

680+ questions here come with free worked solutions. A free account saves your questions and progress; this one needs tuition enrolment.

Create free accountSign inMath tuition

Create a free account to practise similar questions.

Create free accountSign inMath tuition
Answer:(a) \(k>4\). (b) \(k<3-2\sqrt2\) or \(k>3+2\sqrt2\).

Need help? Join our JC Math tuition classes.

Learn more