Algebra 2 4.5, 4.8 Review

Algebra 2 4.5, 4.8 Review

​Simplifying Square Roots

​Simplifying Complex Number Expressions

Conjugates

No i's can be left in the denominator.

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​Use the conjugate to eliminate the i in the denominator.

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​The conjugate is the expression with the same terms but a different sign.

Solving by Factoring and Square Roots

Factoring can be used when you have an x term.

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​Square root can be used when you DO NOT have an x term.

Multiple Choice

How would you solve this problem?

$$6x^2-13x=5$$  

• Square Root method

• Factoring Method

Multiple Choice

Solve this problem.

$$6x^2-13x=5$$  

• $$x=-\frac{1}{3},\ \frac{5}{2}$$  

• $$x=\frac{1}{3},\ -\frac{5}{2}$$  

• $$x=-2,\ 15$$  

• none of these

Multiple Choice

How would you solve this problem?

$$64x^2=49$$  

• Square Root method

• Factoring Method

Multiple Choice

Solve this problem.

$$64x^2=49$$  

• $$x=\frac{7}{8}$$  

• $$x=\pm\frac{7}{8}$$  

• $$x=\pm\frac{8}{7}$$  

• $$x=\pm\frac{49}{64}$$  

Multiple Choice

How would you solve this problem?

$$3x^2+36=0$$  

• Square Root method

• Factoring Method

Multiple Choice

Solve this problem.

$$3x^2+36=0$$  

• $$x=\pm12$$  

• $$x=\pm12i$$  

• $$x=\pm2i\sqrt[]{3}$$  

• $$x=\pm4i\sqrt[]{3}$$  

Multiple Choice

How would you solve this problem?

$$10x^2-35x=0$$  

• Square Root method

• Factoring Method

Multiple Choice

Solve this problem.

$$10x^2-35x=0$$  

• $$x=\pm5$$  

• $$x=\pm\frac{7}{2}$$  

• $$x=0,\ \frac{7}{2}$$  

• $$x=0,\ \frac{5}{2}$$