SOLUTION: Please help me solve the following problem: Solve: x^2 + 3x - 4 = 0

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Question 153536: Please help me solve the following problem:
Solve: x^2 + 3x - 4 = 0
Found 2 solutions by stanbon, josmiceli:
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Solve: x^2 + 3x - 4 = 0
Factor to get:
(x+4)(x-1) = 0
x = -4 or x = 1
=====================
Cheers,
Stan H.
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!

Solving this means finding the roots, or finding
the values of that make
true.
If I just say, off the top of my head, for
a solution, then I'm saying and



That's not true, so is not a solution
One way to solve this is by completing the square.
First add to both sides

Now take one-half of the coefficient of the term,
square it, and add it to both sides, like this:



This is the same as

Now take the square root of both sides

and also
(since has a + and a - square root)
Subtract from both sides


And also


So, the solutions are and
Plug these values into the equation to see if they
are roots, for instance:




So, is a solution
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