SOLUTION: One of the roots to the quadratic equation 30𝑥2 − 149 = 𝑘 is 11/2. Find the value of k and the other root to this equation.

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Question 1068987: One of the roots to the quadratic equation 30𝑥2 − 149 = 𝑘 is 11/2. Find the value of k and the other root to this equation.

Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
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There are TWO WAYS to solve it. 

The way #1.


         To find "k", simply substitute  as "x" into the equation.


         Then the left side will be equal to k. It will give you the value of "k".


         When you will find k, simplify the equation and find the other root.



The way #2.


        You can easily and quickly understand, that for the given equation the value of  is the other root together with the root .

Solved.



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