Answer:
[tex]x=-5, 1[/tex]
General Formulas and Concepts:
Order of Operations: BPEMDAS
Standard Form: ax² + bx + c = 0
Quadratic Formula: [tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]
Step-by-step explanation:
Step 1: Define
-h² - 4h + 5 = 0
a = -1
b = -4
c = 5
Step 2: Solve for x
- Substitute: [tex]x=\frac{-(-4)\pm\sqrt{(-4)^2-4(-1)(5)} }{2(-1)}[/tex]
- Simplify: [tex]x=\frac{4\pm\sqrt{(-4)^2-4(-1)(5)} }{2(-1)}[/tex]
- Exponents: [tex]x=\frac{4\pm\sqrt{16-4(-1)(5)} }{2(-1)}[/tex]
- Multiply: [tex]x=\frac{4\pm\sqrt{16+20} }{-2}[/tex]
- Add: [tex]x=\frac{4\pm\sqrt{36} }{-2}[/tex]
- Evaluate: [tex]x=\frac{4\pm6 }{-2}[/tex]
- Evaluate: [tex]x=-5, 1[/tex]
