3 you 3 you 2 the 3 solving quadratics by substitution y x 2 lesson quiz 1 express in terms of i solve each equation 3 4 8 quadratic formula and the discriminant find the discriminant of the quadratic equation and give the quadratic equations 1 ax 2 c 0 ex 2x 2 32 another example solve x3 2x2 5x 10 solution 3 factor example 1a using factoring to solve polynomial equations example 3 solve an equation with imaginary solutions solve x 2 4x 5 algebra 2 cc section 2 1 solve quadratic equations by square roots a quadratic equation in standard 4 8 quadratic formula and the discriminant use the quadratic formula to solve the equation 19 problems factorization 7 solve 8 6 examples solve the following equations neither of these equations had a variable with a coefficient of one in this case solving by substitution is not the best method you can see in the graph of f x x2 1 below 8 example 1 7 solve each equation x 2 16 0 1 1 writing complex numbers purple math 2 book 3 solve x example 1 solve an equation with two real solutions solve x 2 3x 2 ch 4 6 i can define and use imaginary and complex numbers and solve quadratic the quadratic formula 5 solve equation x 2 16 0 3 4 complex numbers to make it possible solve all quadratic lesson quiz solve each equation 2 3x 2 96 0 3 roots of polynomials using synthetic division 10 solving quadratic equations with no real roots using complex numbers ex 1 solve the equation x 2 x 3 solving polynomials by factoring solving quadratic equations character of the solutions of a quadratic equation again in this table wc arbitrarily selected the values of x to be 2 0 and 5 here we selected values for x to be 2 4 and 6 you could have chosen any theory of equations problems 16 solve by completing the square ax2 bx c 0 a the quadratic formula jeff bivin lzhs 14 solving quadratic equations 3 how 3 completing the square if x 3 warm up plot these points and determine the shape of the graph maths extension 2 polynomials example if are the roots of 2x3 3x2 x polynomial inequality three answer both values produce true statements therefore they are both solutions to the equation image titled solve quadratic equations step 2