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Let 7x^2 + 8x = h.  What value of h will give us exactly one solution for x?

 Nov 21, 2020
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7x2  + 8x  =  h       Let's subtract  h  from both sides to get

 

7x2 + 8x - h  =  0

 

This will have only one root/solution when the discriminate is 0,  that is, when:

 

82 - 4(7)(-h)  =  0

 

64  +  28h  =  0

 

Can you finish solving the above equation for  h  ?

 

Whatever value of  h  we get from that equation is the value of  h  which gives us exactly one solution for  x .

 Nov 21, 2020

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