SOLUTION: x^2-8x+2=0 solve the eqaution by completing the square, than solve using the quadratic formula. must show all work for full credit

Algebra.Com
Question 1039035: x^2-8x+2=0
solve the eqaution by completing the square, than solve using the quadratic formula.
must show all work for full credit
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
x^2-8x+2=0
x^2-8x = -2
x^2-8x+16 = -2+16 = 14
(x-4)^2 = 14
x-4 = ħsqrt(14)
x = 4 ħsqrt(14)
=======================
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=56 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 7.74165738677394, 0.258342613226059. Here's your graph:
RELATED QUESTIONS

Please show work. Consider the quadratic equations: x^2-2=0 Solve quadratic... (answered by Boreal)
Solve the equation x^2 + 8x - 2 = 0 using both the quadratic formula and completing the... (answered by Alan3354)
Hello, I need some help on quadratic equations. Any and all help will be appreciated. (answered by Theo)
Solve by completing the square and quadratic formula: 1.) 3x^2+8x+5=0 2.)... (answered by josgarithmetic,MathTherapy)
Solve x^2-8x+15 by completing the square and quadratic... (answered by stanbon)
Please show all work. Consider the quadratic equations: x^2-2=0 Solve quadratic... (answered by Fombitz)
Using the quadratic equation x^2 - 4x - 5 = 0, perform the following tasks: Solve by... (answered by ikdeep)
1) Solve the quadratic equations by factoring: 5x² = 125 2) Solve the quadratic... (answered by checkley71)
Solve the following equations by completing the square. x^2+8x+7=-8 2x^2=7x-15=0... (answered by pvaka)