Let 7x^2 + 5x = h + 3x^2 - 11x. What value of will h give us exactly one solution for x?
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Let 7x^2 + 5x = h + 3x^2 - 11x. What value of will h give us exactly one solution for x?
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\(4x^2+16x-h=0\\ x^2+4x-\frac{h}{4}=0\\ x=-2\pm\sqrt{4+\frac{h}{4}}\)
\(4+\dfrac{h}{4}=0\\ 4=-\dfrac{h}{4}\\ \color{blue}h=-16\)
h = - 16 will give us exactly one solution for x.
!