Quadratic Equations — Exercises

Solve by factoring and enter the larger root: $\quad x^2 - 5x + 6 = 0$

Enter the positive root: $\quad x^2 - 9 = 0$

Solve: $\quad x^2 + 6x + 9 = 0$

A ball is thrown upward with height $h(t) = -5t^2 + 20t$ metres. After how many seconds does it hit the ground?

Enter the larger root: $\quad 2x^2 - 7x + 3 = 0$

Use the quadratic formula. Enter the larger root: $\quad x^2 + 4x - 12 = 0$

For what value of $k$ does $x^2 - 6x + k = 0$ have exactly one real solution?

A rectangle has area $48$ and its length is $2$ more than its width. Find the width.

Enter the larger root to 2 decimal places: $\quad x^2 - 2x - 1 = 0$

How many real roots does $x^2 - 3x - 10 = 0$ have in total?

Two positive numbers sum to $10$. What is the maximum value of their product?