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Find the value of $k$ if the roots of the quadratic equation $7x^2 + 3x + k = 0$ are $\frac{-3 \pm 3 \sqrt{29}}{14}$.

 Aug 22, 2023
 #1
avatar+128393 
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\( \frac{-3 \pm 3 \sqrt{29}}{14} \)

 

The discriminant =  3^2 * 29  =   9*29 =  261

 

So

 

3^2  - 4 (7) (k)  =  261

 

9 - 28k = 261

 

-28k =  252

 

k = -252 / 28   =    -9 

 

 

cool cool cool

 Aug 22, 2023

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