Quadratic extrema and roots: check 1
Difficulty: ★★☆Maths4U Original · Short practice
\(f{\left(x \right)} = 3 x^{2} - 108 x + 945\).
Find the x-coordinate of the minimum.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Quadratic extrema and roots: review variant 1
Difficulty: ★★☆Maths4U Original · Short practice
\(f{\left(x \right)} = x^{2} - 38 x + 345\).
Find the x-coordinate of the minimum.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Quadratic extrema and roots: check 2
Difficulty: ★★☆Maths4U Original · Short practice
\(f{\left(x \right)} = x^{2} - 38 x + 345\).
Find the minimum value.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Quadratic extrema and roots: review variant 2
Difficulty: ★★☆Maths4U Original · Short practice
\(f{\left(x \right)} = 2 x^{2} - 80 x + 750\).
Find the minimum value.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Quadratic extrema and roots: check 3
Difficulty: ★★☆Maths4U Original · Short practice
\(f{\left(x \right)} = 2 x^{2} - 80 x + 750\).
Find the larger root.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Quadratic extrema and roots: review variant 3
Difficulty: ★★☆Maths4U Original · Short practice
\(f{\left(x \right)} = 3 x^{2} - 126 x + 1311\).
Find the larger root.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Quadratic extrema and roots: check 4
Difficulty: ★★☆Maths4U Original · Short practice
\(f{\left(x \right)} = 3 x^{2} - 126 x + 1311\).
Find the discriminant.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Quadratic extrema and roots: review variant 4
Difficulty: ★★☆Maths4U Original · Short practice
\(f{\left(x \right)} = x^{2} - 44 x + 475\).
Find the discriminant.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.