Mathematics: The sum of two factors of 48 is nineteen. The larger factor, X, is one more than five times the smaller factor, y, Which system of equations can be used to find the numbers?

The sum of two factors of 48 is nineteen. The larger

Ответ:

FailingstudentXD

06.06.2020

Mathematics

$\displaystyle x= 1\pm \sqrt{5}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Standard Form: ax² + bx + c = 0Quadratic Formula: $\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}$

Step-by-step explanation:

Step 1: Define

x² - 2x - 4 = 0

Step 2: Identify Variables

a = 1

b = -2

c = -4

Step 3: Solve for x

Substitute [QF]: $\displaystyle x=\frac{2\pm\sqrt{(-2)^2-4(1)(-4)} }{2(1)}$ Exponents: $\displaystyle x=\frac{2\pm\sqrt{4-4(1)(-4)} }{2(1)}$ Multiply: $\displaystyle x=\frac{2\pm\sqrt{4+16} }{2}$ Add: $\displaystyle x=\frac{2\pm\sqrt{20} }{2}$ Simplify: $\displaystyle x=\frac{2\pm 2\sqrt{5} }{2}$ Factor: $\displaystyle x=\frac{2(1\pm \sqrt{5}) }{2}$ Divide: $\displaystyle x= 1\pm \sqrt{5}$

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The sum of two factors of 48 is nineteen. The larger factor, X, is one more than five times the smaller factor, y, Which
system of equations can be used to find the numbers?

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