Questions asked by landon3

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What is the square root of ax^2+bx+c?
If $\sqrt{a^{2} + b^{2}} = c^{\frac{1}{2}}$ $sqrt(a^2+b^2)=c^(1/2)$ , Find values for a and b?
Say ${(a + b)}^{2} + 1$ $(a+b)^(2)+1$ $=$ $=$ ${(c + d)}^{2}$ $(c+d)^2$ So what are the values of c and d?
If $A_{1} x^{3} + A_{2} x^{2} + A_{3} x + A_{4} = 0$ $A_1x^3+A_2x^2+A_3x+A_4=0$ Can be simplified Down to $a_{1} x^{2} + a_{2} x + a_{3} = 0$ $a_1x^2+a_2x+a_3=0$ , what are the Values of $a_{1}, a_{2}, a_{3}$ $a_1,a_2,a_3$ ?
How to Turn $a x^{2} + b x + c = 0 \Rightarrow A x + B = 0$ $ax^2+bx+c=0=>Ax+B=0$ ?
Prove $\sqrt{a^{2} + b^{2}} e^{i arctan (\frac{b}{a})} = a + b i$ $sqrt(a^2+b^2)e^(iarctan(b/a))=a+bi$ ?