Inequalities – Quadratic equation with a parameter – Exercise 5725
Exercise Given the parabolic equation: For which values of parameter m, the parabola is on the x-axis or above it. Final Answer Solution Given the parabolic equation: We want to…
Exercise Given the parabolic equation: For which values of parameter m, the parabola is on the x-axis or above it. Final Answer Solution Given the parabolic equation: We want to…
Exercise Given the equation: For which values of parameter m, the line is below the x-axis. Final Answer Solution Given the equation: Open brackets: Isolate x on one side: We…
Exercise Find the section in x-aixs where the line: is below the parabla: Final Answer Solution We want to find for which points in x-aixs the following inequality is true:…
Exercise Solve the inequality: Final Answer Solution Move 3 to the other side: By logarithm definition we get: Also, we require the phrase inside the log to be greater than…
Exercise Solve the square inequality: Final Answer Solution It is a square inequality. its coefficients are: The coefficient of the squared expression (a) is positive, so the parabola (quadratic equation…
Exercise Solve the square inequality: Final Answer Solution Move everything to one side: It is a square inequality. its coefficients are: The coefficient of the squared expression (a) is negative,…
Exercise Solve the square inequality: Final Answer Solution Move everything to one side: It is a square inequality. its coefficients are The coefficient of the squared expression (a) is positive,…
Exercise Solve the inequality: Final Answer Solution Compare the bases: Using power rules we get: We have the same base in both sides. Because it is smaller than one, we…