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/sci/ - Science & Math


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4308122 No.4308122 [Reply] [Original]

I've been stuck on this problem for forever. How the fuck do you do this /sci/?

"I the solutions to the equation: x^3 -9x^2 +ax=48 are in arithmetic progression, what is the value of a?"


HOW??

>> No.4308129

What does it mean to say the solutions "are in arithmetic progression?"

>> No.4308133

>>4308129
I think it means that the difference between each of the solutions is the same.

>> No.4308152

Find the roots as a function of a. Find value of a that satisfies the arithmetic progression requirement.

>> No.4308168

x = 4.5 +/- sqrt [ ( 48 / x ) + 20.25 ]

Pretty obvious from here