Mathematics, 05.01.2021 05:50 cameronchilders

Solve for x 6x^2=2x-1

Answers: 3

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Answer from: dexy8683

$\displaystyle x=\frac{1\pm i\sqrt{5}}{6}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Algebra I

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

Algebra II

Imaginary Roots: √-1 = i

Step-by-step explanation:

Step 1: Define

6x² = 2x - 1

Step 2: Rewrite

Subtract 2x on both sides: 6x² - 2x = -1Add 1 to both sides: 6x² - 2x + 1 = 0

Step 3: Identify Variables

a = 6

b = -2

c = 1

Step 4: Solve for x

Substitute [QF]: $\displaystyle x=\frac{2\pm\sqrt{(-2)^2-4(6)(1)} }{2(6)}$ Exponents: $\displaystyle x=\frac{2\pm\sqrt{4-4(6)(1)} }{2(6)}$ Multiplication: $\displaystyle x=\frac{2\pm\sqrt{4-24} }{12}$ (Square Root) Subtract: $\displaystyle x=\frac{2\pm\sqrt{-20} }{12}$ Factor: $\displaystyle x=\frac{2\pm \sqrt{-1} \sqrt{20} }{12}$ Simplify: $\displaystyle x=\frac{2\pm 2i\sqrt{5} }{12}$ Factor GCF: $\displaystyle x=\frac{2(1\pm i\sqrt{5} )}{12}$ Simplify: $\displaystyle x=\frac{1\pm i\sqrt{5}}{6}$

Answer from: Quest

the most boring ever written

step-by-step explanation:

i am writing something. yes, i plan to make it the most boring thing ever written. i go to the store. a car is parked. many cars are parked or moving. some are blue. some are tan. they have windows. in the store, there are items for sale. these include such things as soap, detergent, magazines, and lettuce. you can enhance your life with these products. soap can be used for bathing, be it in a bathtub or in a shower. apply the soap to your body and rinse. detergent is used to wash clothes. place your dirty clothes into a washing machine and add some detergent as directed on the box. select the appropriate settings on your washing machine and you should be ready to begin. magazines are stapled reading material made with glossy paper, and they cover a wide variety of topics, ranging from news and politics to business and stock market information. some magazines are concerned with more recreational topics, like sports card collecting or different kinds of hairstyles. lettuce is a vegetable.

Answer from: Quest

c. side angle side. u shares the same sides

By which rule are these triangles congruent? a) aas b) asa c) sas d) sss

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