Question

5m²-11m-42=0 how do i answert this

Answer 1

Answer:

$x=-2, \frac{21}{5}$

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: $x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}$

Step-by-step 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:                    $x=\frac{11\pm\sqrt{(-11)^2-4(5)(-42)} }{2(5)}$
2. Exponents:                   $x=\frac{11\pm\sqrt{121-4(5)(-42)} }{2(5)}$
3. Multiply:                        $x=\frac{11\pm\sqrt{121+840} }{10}$
4. Add:                              $x=\frac{11\pm\sqrt{961} }{10}$
5. Evaluate:                      $x=\frac{11\pm31 }{10}$
6. Evaluate:                      $x=-2, \frac{21}{5}$