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\(\text{use the quadratic formula :} \\x = {-b \pm \sqrt{b^2-4ac} \over 2a}\)

here is the roots:

\(176-96=80\\ 96:80\\ 6:5\)

Answer:  6:5

2099.8                              

0                            

\(32 = 2(k – 34)\\ \frac{32}{2}=\frac{2(k-34)}{2}\\ 16=k-34 \\ \text{add to both sides 34: }\\ 16+34=k-34+34\\ 50=k\)

 \(2(a^2-25)=21a\\ a^2-25=10.5a\\ a^2-10.5a-25=0\)

Do the rest by yourself then write the answer

\(w=\frac{7}{8},-\frac{7}{8}\)

there is two unknowns

Here is the graph:

\(13^2-3^2=x^2\\ x=\sqrt{160}=12.6491106406735173\)

Answer: 12.6