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Find the value of $v$ such that $\frac{-21-\sqrt{201}}{10}$ a root of $5x^2+21x+v = 0$.

 Mar 7, 2024
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\(\frac{-21-\sqrt{201}}{10}\)

 

[-21 + sqrt (201) / 10   is also  a  root

 

product of the roots   = [  (-21)^2   - 201 ] / 100  =   240/100  =  2.4

 

product of roots =  v / 5

 

v / 5  = 2.4

 

v = 5 * 2.4    = 12

 

cool cool cool

 Mar 7, 2024

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