SOLUTION: Hello. Here are three problems involving the Quadratic Equation that I am having trouble with. 1. Solve the equation using factoring or the quadratic formula, whichever is ap

Question 762090: Hello. Here are three problems involving the Quadratic Equation that I am having trouble with.
1. Solve the equation using factoring or the quadratic formula, whichever is appropriate.
4/(x+6)+3/(x-6)=1
x=?
2. Solve the equation using factoring or the quadratic formula, whichever is appropriate.
1/(x+6)+1/(x+5)=1
x=?
3. Can the equation x2=11 be solved by factoring? Solve it.
x^2=11
x=?
Answer by ramkikk66(644) (Show Source): You can put this solution on YOUR website!
Problem 1:
Multiplying both sides by (x+6)*(x-6)

---> Standard quadratic equation
Let us solve it by factoring.
Rewrite -7x as -10x + 3x
Take out common factor of x-10

Two solutions of the equation are x + 3 = 0 or x - 10 = 0
So roots of the equation are and
Problem 2

Multiply both sides by (x+6)*(x+5)

Solve using quadratic formula, as shown below. You get the 2 roots as
or

Solved by pluggable solver: SOLVE quadratic equation with variable

Quadratic equation (in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=5 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: -3.38196601125011, -5.61803398874989. Here's your graph:

Problem 3:
x^2 = 11
or
:)
RELATED QUESTIONS
Hello, These are the problems that I am having trouble with: Solve: 1. -3x^2 + 5x -... (answered by jorel1380)

Hello I am having problems solving this quadratic equation by using the quadratic... (answered by AnlytcPhil)

Hello Tutor, The directions is to solve the equation. 4log4+logx=6 I have... (answered by nerdybill,RAY100)

Hi, Can someone please help me with the following: I have two equations that I need (answered by jim_thompson5910)

Hello, I am having trouble with this equation: Find the intercepts and then graph the (answered by Alan3354)

Hello! I am not very good with a system of equations, here are another one of the... (answered by greenestamps)

Hello I need to solve: {{{ 3x^2-4x=5 }}} and {{{ (-(x+2)^2(x-1))/(x(x-3)) }}} greater (answered by josgarithmetic)

My assignment is solve a sytem of equations by using an augmented matrix and elementry... (answered by lynnlo)

Hello, I am having trouble with this equation. What I have trouble with is the double... (answered by tommyt3rd)