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2 years ago

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

Mathematics

1 answer:

zaharov [31]2 years ago

7 0

Answer:

x = 3, 5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtract Property of Equality

Algebra I

Terms/Coefficients/Degrees
Standard Form: ax² + bx + c = 0
Multiple Roots
Factoring
Completing 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 = -15
Complete 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 ± 1
Evaluate: x = 3, 5

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