SOLUTION: Can you please help me solve using the quadratic equation? x^2 + 2x - 24 = 0

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Question 64498: Can you please help me solve using the quadratic equation?
x^2 + 2x - 24 = 0

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Can you please help me solve using the quadratic equation?
x^2 + 2x - 24 = 0
:
The equation is in the form ax^2 + bx + c, so in this problem:
a = +1; b = +2; c = -24
:
The quadratic formula:
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
:
Substituting for a, b, & c:
x+=+%28-2+%2B-+sqrt%28+2%5E2-4%2A1%2A-24+%29%29%2F%282%2A1%29+
:
x+=+%28-2+%2B-+sqrt%28+4+-+%28-96%29+%29%29%2F%282%29+
:
Remember a minus a minus is a plus:
x+=+%28-2+%2B-+sqrt%28+4+%2B+96%29+%29%2F%282%29+
:
x+=+%28-2+%2B-+sqrt%28100%29%29%2F%282%29+
:
x+=+%28-2+%2B-+10+%29%2F%282%29+
:
Find two solutions:
x+=+%28-2+%2B+10+%29%2F%282%29+
x+=+%288+%29%2F%282%29+
x = 4
and:
x+=+%28-2+-+10+%29%2F%282%29+
x+=+%28-12+%29%2F%282%29+
x = -6
:
Memorize this procedure, you will use it alot. Print it out if you wish.