2007-12-12 05:21:49 · 5 answers · asked by Ben 1 in Science & Mathematics ➔ Mathematics
OK
12^2 = x^2 -x
144 = x^2 -x
0 = x^2 -x -144
1 +- sqrt((1 - (4)(1)(-144)) / 2(1)
1 +- sqrt(1 +576) /2
1 +- sqrt(577) /2
1 +-(24.02086) /2
25.02086/2 or -23.02086 /2
12.51043 or -11.51043
Let's check
144 = (12.51043)^2 - 12.51043
144 = 156.510 - 12.510
144 = 144 YES!
Hope that helps.
2007-12-12 05:37:05 · answer #1 · answered by pyz01 7 · 0⤊ 0⤋
12^2=144
so 144=x^2-x
Subtract 144 from each side to get a quadratic equation.
x^2-x-144=0
Can't factor so use quadratic formula
(1+- [SQRT(1-(4*(-144)))])/2
(1+-[sqrt(577)])/2
(1+- 24.0208)/2
x=12.5104 , x=-11.5104
2007-12-12 13:31:21 · answer #2 · answered by nicknameyo 3 · 0⤊ 0⤋
Use the quadratic formula:
144=x^2-x
0= x ^2 - x +144
Because there is a SQUARE, this should be a sign to use the quadratic formula.
a=1 b= -1 c=144
-b+-SQUAREROOT of b^2-4ac/2a
If you plug in the answers now, you'll get it!
2007-12-12 13:37:28 · answer #3 · answered by Anonymous · 0⤊ 0⤋
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2007-12-12 13:24:09 · answer #4 · answered by Anonymous · 0⤊ 3⤋
x² - x - 144 = 0
(x - 1/2)² - 1/4 - 144 = 0
x - 1/2 = 屉(144 - 0.25)
x = 0.5屉143.75
2007-12-12 13:25:57 · answer #5 · answered by mountainpenguin 4 · 0⤊ 0⤋
x^2-x-144 = 0
x = [1 +/- sqrt(1^2 -4(1)(-144))]/(2*1)
x= [1 +/- sqrt(577)]/2
2007-12-12 13:31:29 · answer #6 · answered by ironduke8159 7 · 0⤊ 0⤋