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