# SOLUTION: Solve by completing the square: x^2 + 6x - 8 = 0 Solve by using the quadratic formula: z^2 -6z -14 = 0 Solve: x^2 + 2x - 8 <or=to 0

Algebra ->  Algebra  -> Radicals -> SOLUTION: Solve by completing the square: x^2 + 6x - 8 = 0 Solve by using the quadratic formula: z^2 -6z -14 = 0 Solve: x^2 + 2x - 8 <or=to 0      Log On

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Question 34247: Solve by completing the square:
x^2 + 6x - 8 = 0

Solve by using the quadratic formula:
z^2 -6z -14 = 0

Solve:
x^2 + 2x - 8
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 Solved by pluggable solver: COMPLETING THE SQUARE solver for quadratics Read this lesson on completing the square by prince_abubu, if you do not know how to complete the square.Let's convert to standard form by dividing both sides by 1: We have: . What we want to do now is to change this equation to a complete square . How can we find out values of somenumber and othernumber that would make it work? Look at : . Since the coefficient in our equation that goes in front of x is 6, we know that 6=2*somenumber, or . So, we know that our equation can be rewritten as , and we do not yet know the other number. We are almost there. Finding the other number is simply a matter of not making too many mistakes. We need to find 'other number' such that is equivalent to our original equation . The highlighted red part must be equal to -8 (highlighted green part). , or . So, the equation converts to , or . Our equation converted to a square , equated to a number (17). Since the right part 17 is greater than zero, there are two solutions: , or Answer: x=1.12310562561766, -7.12310562561766.

 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=92 is greater than zero. That means that there are two solutions: . Quadratic expression can be factored: Again, the answer is: 7.79583152331272, -1.79583152331272. Here's your graph:

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