x^2-8x+15=0 solve the equation by completing the square. Round your solutions to the nearest hundredth, if necessary.

x = 3, 5

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

Terms/Coefficients/DegreesStandard Form: ax² + bx + c = 0Multiple RootsFactoringCompleting the Square: -b/(2a)

Step-by-step explanation:

Step 1: Define

x² - 8x + 15 = 0

Step 2: Solve for x

[Subtraction Property of Equality] Subtract 15 on both sides:                     x² - 8x = -15Complete the Square [Addition Property of Equality]:                                 x² - 8x + 16 = -15 + 16[Complete the Square] Simplify:                                                                   (x - 4)² = 1[Equality Property] Square root both sides:                                                  x - 4 = ±1[Addition Property of Equality] Add 4 on both sides:                                   x = 4 ± 1Evaluate:                                                                                                          x = 3, 5