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Let $7x^2 + 5x = h.$ What value of $h$ will give us exactly one solution for $x$?

 May 4, 2018
 #1
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7x^2  + 5x  = h

7x^2 + 5x - h  = 0

 

We will have one solution when the discriminant  =  0

 

So

 

5^2  - 4(7)(-h)   = 0

25 + 28h = 0

25 =  - 28h

-25/28 =  h

 

This graph shows that this is true :

 

https://www.desmos.com/calculator/jbpjhjdgt4

 

 

cool cool cool

 May 4, 2018

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