SOLUTION: can you tell me how to slove the quadratic equation -1x^2+12x-32 step by step

Algebra ->  Inverses -> SOLUTION: can you tell me how to slove the quadratic equation -1x^2+12x-32 step by step      Log On


   

Question 474361: can you tell me how to slove the quadratic equation -1x^2+12x-32 step by step
Found 2 solutions by Alan3354, josmiceli:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
There's no equal sign.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+-1%2Ax%5E2+%2B+12x+-+32+
Set this equal to zero. ( note that there is no
equation until an = sign appears)
+-1%2Ax%5E2+%2B+12x+-+32+=+0+
Now it's an equation, and I can solve for x
I'll use the quadratic formula.
If the equation is in the form
+ax%5E2+%2B+b%2Ax+%2B+c+=+0+, then
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
+a+=+-1+
+b+=+12+
+c+=+-32+
x+=+%28-12+%2B-+sqrt%28+12%5E2-4%2A%28-1%29%2A%28-32%29+%29%29%2F%282%2A%28-1%29%29+
x+=+%28-12+%2B-+sqrt%28+144+-+128+%29%29%2F%28-2%29+
x+=+%28-12+%2B-+sqrt%28+16+%29%29%2F%28-2%29+
x+=+%28-12+%2B+4%29%2F%28-2%29+
+x+=+-8%2F%28-2%29+
(1) +x+=+4+
and
x+=+%28-12+-+4%29%2F%28-2%29+
+x+=+-16%2F%28-2%29+
(2) +x+=+8+
These are the 2 solutions
Rewrite (1) and (2) as:
(1) +x+-+4+=+0+
(2) +x+-+8+=+0+
Now multiply both sides of (1) by -1
(1) +-x+%2B+4+=+0+
Multiply (1) and (2) to get your equation
+%28-x+%2B+4%29%2A%28x+-+8%29+=+-1%2Ax%5E2+%2B+4x+%2B+8x+-+32+
+%28-x+%2B+4%29%2A%28x+-+8%29+=+-1%2Ax%5E2+%2B+12x+-+32+
OK