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Given $x\neq0$, find the positive value of b such that the equation \(\frac{3}{x} + x = b\) will have exactly one solution.

 Jul 6, 2022
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3/x + x   = b          multiply through by x   and rearrange

 

x^2  -bx + 3   = 0

 

If we have one solution then the discriminant =   0   .....so.....

 

b^2  -  4*3*1  = 0

 

b^2  - 12  = 0

 

b =  sqrt (12)  =   2sqrt (3)

 

 

cool cool cool

 Jul 6, 2022

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