Question

5m²-11m-42=0 how do i answert this

Answer 1

`x=-2, (21)/(5)`

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

Algebra I

• Standard Form: ax² + bx + c = 0
• Quadratic Formula:
  `x=(-b\pm√(b^2-4ac) )/(2a)`

Explanation:

Step 1: Define equation

5m² - 11m - 42 = 0

Step 2: Define variables

a = 5

b = -11

c = -42

Step 3: Find roots

1. Substitute:
   `x=(11\pm√((-11)^2-4(5)(-42)) )/(2(5))`
2. Exponents:
   `x=(11\pm√(121-4(5)(-42)) )/(2(5))`
3. Multiply:
   `x=(11\pm√(121+840) )/(10)`
4. Add:
   `x=(11\pm√(961) )/(10)`
5. Evaluate:
   `x=(11\pm31 )/(10)`
6. Evaluate:
   `x=-2, (21)/(5)`