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

 Jun 7, 2022
 #1
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7x^2 + 5x  =  -x^2  + x + h         rearrange as

 

8x^2  + 4x  -  h  =  0

 

If we have only one solution, the discriminant =  0.....so....

 

4^2  -  4 (-h)(8)  =  0

 

16 + 32h  =  0

 

32h =  -16

 

h =  -16/32  =   -1/2

 

cool cool cool

 Jun 7, 2022

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