1. Write a quadratic equation that can be solved by factoring. Solve your equation and show and explain all your work. 2. In this unit you have learned about several different ways to solve quadratic equations. How do you determine which method to use when you’re trying to solve a quadratic equation?

Step-by-step explanation:

1. - 2x - 15 = 0

Then we look for two factors whose product gives -15, and sum equals -2x.

The factors are; -5x and 3x.

So that,

+ 3x - 5x  - 15 = 0

( + 3x)(-5x -15)

x (x + 3) -5 (x + 3)

(x + 3)(x - 5)

Then,

x + 3 = 0

x = -3

Also,

x - 5 = 0

x = 5

The roots of the equation are: x = -3 or 5.

2. When solving question quadratic equation, the values of the coefficients of the variable and the constant are first considered. The relationship among them would give the clue on which method to use in solving the question.

the answer is c

step-by-step explanation:

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)