# Comparing Methods for Solving Quadratics

When faced with quadratic equations, various methods exist to find solutions efficiently. These methods often differ in complexity and applicability, each offering distinct advantages depending on the equation's form and context. By comparing these methods, one can discern their strengths and weaknesses, ultimately selecting the most suitable approach for a given problem. Through this analysis, we can gain insights into the efficiency, accuracy, and ease of implementation of different techniques for solving quadratics, facilitating better decision-making in mathematical problem-solving endeavors.

Questions

- How do you solve #3x^7 - 243x^3=0#?
- How do you solve # x^2-3x=10 #?
- How do you find the roots for #x^2 – 14x – 32 = 0#?
- How do you solve #0=2x^2+32x#?
- How do you solve #3x^3 - 2[ x - ( 3 - 2x ) ] = 3 ( x - 2 )^2#?
- How do you find any rational roots for the equation: #x^4 + 3x^3 - x^2 - 9x - 6 = 0#?
- How do you solve #h = -16t^2 + 3200#?
- How do you factor and solve #x - 6 = -x^2#?
- How do you solve #x^2-2x=8#?
- How do you solve # (x – 5)^2 = 3#?
- How do you solve #r-6r^2=-1#?
- How do you solve #x^2 + 12 = (x - 4)^2#?
- How do you solve #4x=x^2-45#?
- How do you solve #(x + 2)^2 = 1 #?
- How do you solve #3x^2=12#?
- How do you solve #x^2+x-72=0#?
- How do you solve #12y^2-5y=2#?
- How do you solve #x (x^2 + 2x + 3)=4# by factoring?
- How do you solve #(2x+8)(3x-6)=0# using any method?
- How do you solve #x^4 -3x^2 -4= 0#?