4.3 - solving quadratic equations by completing the square...
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4.3 Solving Quadratic Equations by Completing the Square (Solutions).notebookSeptember 30, 2015
4.3Solving Quadratic Equations by Completing the Square
Square Root PrincipleThe square root principle will work for quadratic equations of the form:
ax2 + (0)x + c = 0
IE: if there is no "x" term, the square root principle will work!
4.3 Solving Quadratic Equations by Completing the Square (Solutions).notebookSeptember 30, 2015
two important notes:
isolate the squared term by itself before taking the square root of both sides.
when applying the square root, you must take both the positive and negative value of the number.
Example 1: Solve the following quadratic equations:
a) b)
4.3 Solving Quadratic Equations by Completing the Square (Solutions).notebookSeptember 30, 2015
a) b)
Example 2: Solve the following quadratic equations
Putting in Classwork (15 minutes)
pg. 241 # 4 and 5
4.3 Solving Quadratic Equations by Completing the Square (Solutions).notebookSeptember 30, 2015
For standard form quad. equations that will not factor, if you want to use the square root principle, you must convert it to vertex form by:
Completing The Square
a) b)
Example 3: Solve the following by completing the square.
4.3 Solving Quadratic Equations by Completing the Square (Solutions).notebookSeptember 30, 2015
c) d)
pg. 240
1) Finish # 4, 5
2) 6, 7abc, Extend 13ab
It's Hip to do Squares