Solve equations using structure - Question

1. Find one value of \(x\) that is a solution to the equation:

\(\left(x^{2}-7\right)^{2}+2 x^{2}-14=0\)


2. Let \(m=2x+3\).

Which equation is equivalent to \((2 x+3)^{2}-14 x-21=-6\) in terms of \(m\)?

Choose 1 answer:

A. \(m^{2}+7m+6=0\)

B. \(m^{2}−7m−15=0\)

C. \(m^{2}−7m+6=0\)

D. \(m^{2}+7m-15=0\)


3. Find one value of \(x\) that is a solution to the equation:

\(\left(x^{2}+4\right)^{2}-11\left(x^{2}+4\right)+24=0\)


4. Find one value of \(x\) that is a solution to the equation:

\((2 x+3)^{2}-6 x-9=0\)