Page 2: Student's Solutions
This page shows the student's NicoleAxyonov solutions to the given problems.
For equation a x2−16=0, the student correctly identifies the solutions as x₁ = 4 and x₂ = -4.
For equation b x2+5x+6=0, the student uses the quadratische Gleichung lösen Formel quadraticformula to find the solutions x₁ = -3 and x₂ = -2.
Definition: The quadratische Gleichung lösen Formel or quadratic formula is x = −b±√(b2−4ac) / 2a, where a, b, and c are the coefficients in the standard form of a quadratic equation ax2+bx+c=0.
For equation c x2+8x−48=0, the student again applies the quadratic formula, finding the solutions x₁ = 4 and x₂ = -12.
The student chooses to solve word problem W2, setting up the equation x² + x = 240 and solving it to find x = 15.98 approximately.
Example: The solution process for W2 involves:
- Setting up the equation: x² + x = 240
- Rearranging to standard form: x² + x - 240 = 0
- Applying the quadratic formula or factoring to solve
Highlight: This page demonstrates the practical application of quadratische Gleichungen Übungen quadraticequationexercises and showcases various methods for solving different types of quadratic equations.
