Quadratic formula is
x = (-b +/- sqrt(b^2 - 4ac))/2a
for a quadratic equation ax^2 + bx + c = 0.
So in your equation, a = 6, b = 3, and c = -18. Plugging that into the equation, we get
x = (-3 +/- sqrt(3^2 - 4*6*(-18))/2*6
x = (-3 +/- sqrt(9 + 432)) / 12
x = (-3 +/- sqrt(441)) / 12
x = (-3 +/- 21) / 12
x = -24 / 12 or 18 / 12
x = -2 or 3/2.
2007-10-17 07:45:08
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answer #1
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answered by Ian 3
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when the quadratic equation is ax^2 +bx + c = 0
then the formula is x = [-b+/- sqrt(b^2 - 4ac)]/2a
In the given equation 6x^2 + 3x - 18 = 0
a = 6 : b = 3 and c = -18
substituting in the fotmula
x = [-3+/- sqrt(3^2 - 4(6)(-18)]/(2)(6)
= [-3 +/- sqrt(9 + 432)]/12
=[-3+/- sqrt(441)]/12
=[-3 +/- 21]/12
=18/12 or -24/12
x = 3/2 or - 2
2007-10-17 07:48:59
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answer #2
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answered by mohanrao d 7
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Quadratic formula: x = (-b +/- sqrt(b^2 +- 4ac))/2a
Quadratic equation: ax^2 + bx + c = 0.
a = 6, b = 3, and c = -18...just plug and chug at this point...
x = (-3 +/- sqrt(3^2 +- 4(6)(-18))/2(6)
x = (-3 +/- sqrt(9 + 432)) / 12
x = (-3 +/- sqrt(441)) / 12
x = (-3 +/- 21) / 12
When you get to here don't forget its plus OR minus so you must preform both:
x = -24 / 12 OR 18 / 12
x = -2 or 1.5
2007-10-17 07:55:36
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answer #3
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answered by Matty B 3
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x = 3/2 and x = -2
2007-10-17 07:40:57
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answer #4
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answered by fcas80 7
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quadratic formula is x = (-b +/- Sqrt(b^2 - 4ac)/2a
a = 6, b = 3 and c = -18
b^2 - 4ac = 9 + 4*6*18 = 21
x = (-3 +/- 21 )/12
x = -2 or 1.5
2007-10-17 07:45:06
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answer #5
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answered by norman 7
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Store values into calculator. Ans. Calculate with minus sign.
6 is A: 3 is B: -18 is C Ans. 54
(-B+square root of (B^2-4AC00/2A and
(-B- - same - but with minus sign
Quadratics have two solutions
2007-10-17 07:55:44
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answer #6
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answered by gzlakewood@sbcglobal.net 4
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x = [-b +/- sqrt(b^2-4ac)]/(2a) where a = 6, b= 3 and c= -18
x = [-3 +/- sqrt(3^2-4(6)(-18)/(2*6)
x = [-3 +/- sqrt(9 + 432)]/12
x = [-3 +/- 21]/12
x = (-3 -21)/12 = -2
x = -3 +21)/12 = 1.5
2007-10-17 07:45:15
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answer #7
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answered by ironduke8159 7
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