Rewrite the equation by completing the square 2x^2-20x=x^2-19

x = -1, 19

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

to Right  

Equality Properties

Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtract Property of Equality

Algebra I

Standard Form: ax² + bx + c = 0FactoringMultiple RootsCompleting the Square: -b/(2a)

Step-by-step explanation:

Step 1: Define

2x² - 20x = x² - 19

Step 2: Solve for x

[Subtraction Property of Equality] Subtract x² on both sides:                     x² - 20x = -19Complete the Square [Addition Property of Equality]:                                 x² - 20x + 100 = -19 + 100[Complete the Square] Simplify:                                                                    (x - 10)² = 81[Equality Property] Square root both sides:                                                  x - 10 = ±9[Addition Property of Equality] Add 10 on both sides:                                 x = 10 ± 9Evaluate:                                                                                                          x = -1, 19

If gravity is one third on mars then weight also one third on mars