SOLUTION: Determine all possible real solutions of the equation. (Enter your answers as a comma-separated list. If there is no solution, enter NO SOLUTION.)
3x2 − 8x + 8 = 0
x =_____
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-> SOLUTION: Determine all possible real solutions of the equation. (Enter your answers as a comma-separated list. If there is no solution, enter NO SOLUTION.)
3x2 − 8x + 8 = 0
x =_____
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Question 779236: Determine all possible real solutions of the equation. (Enter your answers as a comma-separated list. If there is no solution, enter NO SOLUTION.)
3x2 − 8x + 8 = 0
x =_____
I know how to do this but it has been so long, can you explain the steps necessary to arrive at the solution?
Found 4 solutions by stanbon, josmiceli, Alan3354, MathTherapy:Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! 3x2 − 8x + 8 = 0
Use the Quadratic Formula::
x = [-b +- sqrt(b^2-4ac)]/(2a)
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x = [8 +- sqrt(64-4*3*8)]/(6)
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x = [8 +- sqrt(-32)]/6
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x = [8 +- 4*sqrt(2)i]/6
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x = (4/3)+ (2/3)sqrt(2)i or x =(4/3) - (2/3)sqrt(2)i
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Cheers,
Stan H.
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You can put this solution on YOUR website!
Use the quadratic formula
There is no solution because you are taking the square root of a
negative number which means you end up with two
imaginary roots that look like: and where
so there are no real solutions
You can put this solution on YOUR website! Determine all possible real solutions of the equation. (Enter your answers as a comma-separated list. If there is no solution, enter NO SOLUTION.)
3x^2 - 8x + 8 = 0
------
The discriminant = b^2 - 4ac
= (-8)^2 - 4*3*8 = 64 - 96
= -32
---
Disc < 0 --> no real solutions
You can put this solution on YOUR website!
Determine all possible real solutions of the equation. (Enter your answers as a comma-separated list. If there is no solution, enter NO SOLUTION.)
3x2 − 8x + 8 = 0
x =_____
I know how to do this but it has been so long, can you explain the steps necessary to arrive at the solution?
(