SOLUTION: Solve the following equations for x using any method. 1) {{{ x^2-4x=2}}} Also for the equation: 2) {{{ abs(5-x)-4=2}}} would the correct answer be x=-1 or x=11?

Question 623799: Solve the following equations for x using any method.
1)
Also for the equation:
2)
would the correct answer be x=-1 or x=11?
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Solve the following equations for x using any method.
1)

Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)

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=24 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 4.44948974278318, -0.449489742783178. Here's your graph:

==============
Also for the equation:
2)
would the correct answer be x=-1 or x=11?
2)
|x-5| = 6
x = 11
x = -1
is right.

RELATED QUESTIONS
solve for x and y for the following equations using elimination method: 0.5x + 2y = 9... (answered by JBarnum)

How can i solve these type of equations?? {{{ abs (x-4) - abs (x+2) =6}}} would the (answered by rothauserc)

solve: (abs(x-1))^(x^2+3x)=(abs(x-1))^(5-x). Abs means Absolute (answered by ikleyn)

1. Solve the following set of equations by using Gauss Elimination Method.... (answered by Edwin McCravy)

Solve the following inequality: {{{ sqrt((1/abs(x))-(1/x^2))-(1/x)}}} >... (answered by Edwin McCravy,Theo)

1) solve: abs(2y+4)=22-abs(6-2y) 2) solve:... (answered by lwsshak3)

Please solve following quadratic equations using method completing the square: x^2 + x = (answered by Earlsdon)

I need to draw a graph of y = -2 (abs)x +1 (abs) -4. We need to construct a sequence of... (answered by )

Solve the quadratic equation using any appropriate method.... (answered by 303795)