Explain the four steps for solving quadratic equations? Can any of the steps be eliminated? Can any of the steps be changed? Would you add any steps to make it easier, or to make it easier to understand?

Solution Preview

Given a quadratic equation: ax² + bx + c
Solve the equation for zero by factoring.

Four Steps to solve by factoring using the following example
y=x² + 2x + 1, note; a=1, b=2, and c=1

- Step 1) Create a factor chart for all factor pairs of c=1
A factor pair ...

Solution Summary

This is a step-by-step solution for solving a quadratic equation by factoring. The quadratic equation must be in the format of quadratic equals zero, in order to factor. The zero factor principle states that at least one factor is equal to zero. This step-by-step solution involves solving for zero by factoring.

... This step solves the rational equation faster especially in the case when both ... d = (-4)^2 - 4(1)(3) d = 4. ... An example of a quadratic equation with no solution is ...

1. An interesting method for solving quadratic equations came from India ... The steps are: (a) Move the constant term to the ... term in the equation by four times the ...

...Quadratic Function Example 1 Graph y = x2. Solution Step 1: Identify the domain and range of the function. ...Step 4: Determine the symmetry of the graph. ...

Please see the attached file and provide step-by-step solutions. ... 2 − 2 2 − 4*1*( −8) − 2 + 2 2 − 4*1*( −8) m= = −4 or m ... 20 Solve each equation...

...4. What are extraneous solutions of an equation... 6. Why are there usually two solutions in quadratic equations? ... the textbook and present a step-by-step solution. ...

... We have learned to solve quadratic equations using a variety of methods ... square or the quadratic formula and explain each step as if ... x 2 + 3x + ( 3 ) 2 = 1 2 4. ...

... TO INCLUDE ALL GRAPHS AND ALL NECESSARY STEPS TO SOLVING... 3. Solve by the square root property: 4x² = 100. 4. Solve by completing the square: x² 10x + 4...

... t = 8 seconds t = 4 seconds t = 3 seconds t = -3 seconds The ball will never ... The solution shows detailed steps of solving quadratic equation by different ...