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Let x be a value such that 9x^2-18x-16=0 and 15x^2+28x+12=0 What is the value of x? Express your answer as a simplified common fraction.

 Aug 1, 2023
edited by Guest  Aug 1, 2023
 #1
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So I'm guessing that you want x to follow both of these equations, if not, please correct your question.

 

Now using the quadratic equation the roots of 9x^2-18x-16=0 would be 8/3 or -2/3 

 

Now we do the same for 15x^2+28x+12=0 and we get: -2/3 or -6/5 

 

Notice that both of the equations have a root of -2/3 thus -2/3 is your answer smiley

 Aug 1, 2023

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