Equations reducible to quadratics: check 1
Difficulty: ★★☆Info
Maths4U Original · Short practice
Solve \(x^{4} - 40 x^{2} + 144 = 0\). For a substitution, write \(\displaystyle u=x^{2}\).
Find the smaller positive real root.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Equations reducible to quadratics: review variant 1
Difficulty: ★★☆Info
Maths4U Original · Short practice
Solve \(x^{4} - 73 x^{2} + 576 = 0\). For a substitution, write \(\displaystyle u=x^{2}\).
Find the smaller positive real root.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Equations reducible to quadratics: check 2
Difficulty: ★★☆Info
Maths4U Original · Short practice
Solve \(x^{4} - 73 x^{2} + 576 = 0\). For a substitution, write \(\displaystyle u=x^{2}\).
Find the larger positive real root.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Equations reducible to quadratics: review variant 2
Difficulty: ★★☆Info
Maths4U Original · Short practice
Solve \(x^{4} - 65 x^{2} + 784 = 0\). For a substitution, write \(\displaystyle u=x^{2}\).
Find the larger positive real root.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Equations reducible to quadratics: check 3
Difficulty: ★★☆Info
Maths4U Original · Short practice
Solve \(2^{2x}-18(2^x)+32=0\).
Find the product of the two x-solutions.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Equations reducible to quadratics: review variant 3
Difficulty: ★★☆Info
Maths4U Original · Short practice
Solve \(3^{2x}-738(3^x)+6561=0\).
Find the product of the two x-solutions.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Equations reducible to quadratics: check 4
Difficulty: ★★☆Info
Maths4U Original · Short practice
Solve \(3^{2x}-738(3^x)+6561=0\).
Find the difference between the larger and smaller x-solutions.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Equations reducible to quadratics: review variant 4
Difficulty: ★★☆Info
Maths4U Original · Short practice
Solve \(4^{2x}-4160(4^x)+262144=0\).
Find the difference between the larger and smaller x-solutions.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.