left parenthesis 2 x minus A right parenthesis squared equals B x squared plus x left parenthesis x plus 8 right parenthesis plus 4,
You asked:
Given \({\left( 2 x - A \right)}^{2} = B\) evaluate the expression \({x}^{2} + x \left(x + 8\right) + 4\).
MathBot Answer:
\(x^{2} + x \left(x + 8\right) + 4 \in \left\{\left(- \frac{\sqrt{B}}{2} + \frac{A}{2}\right)^{2} + \left(- \frac{\sqrt{B}}{2} + \frac{A}{2}\right) \left(- \frac{\sqrt{B}}{2} + \frac{A}{2} + 8\right) + 4, \left(\frac{\sqrt{B}}{2} + \frac{A}{2}\right)^{2} + \left(\frac{\sqrt{B}}{2} + \frac{A}{2}\right) \left(\frac{\sqrt{B}}{2} + \frac{A}{2} + 8\right) + 4\right\}\)