radical equations -...

21
RADICAL EQUATIONS Don’t forget that radicals have restrictions!! I Principle for solving radical equations The opposite of taking a root is taking it to a power. METHOD: Isolate the radical Square each side. Check your answers II EXAMPLES 1) + 2 = x 2)

Upload: others

Post on 24-Jul-2020

11 views

Category:

Documents


0 download

TRANSCRIPT

Page 1: RADICAL EQUATIONS - faculty.pingry.k12.nj.usfaculty.pingry.k12.nj.us/vmcgrath/documents/6RationalRoots.pdf · Radical Equations 2. 3. Fractional Equation Word Problems The denominator

RADICAL EQUATIONS Don’t forget that radicals have restrictions!!

I Principle for solving radical equationsThe opposite of taking a root is taking it to a power.

METHOD:

• Isolate the radical• Square each side.• Check your answers

II EXAMPLES

1) + 2 = x 2)

Page 2: RADICAL EQUATIONS - faculty.pingry.k12.nj.usfaculty.pingry.k12.nj.us/vmcgrath/documents/6RationalRoots.pdf · Radical Equations 2. 3. Fractional Equation Word Problems The denominator

3)

4)

Page 3: RADICAL EQUATIONS - faculty.pingry.k12.nj.usfaculty.pingry.k12.nj.us/vmcgrath/documents/6RationalRoots.pdf · Radical Equations 2. 3. Fractional Equation Word Problems The denominator

5)

Page 4: RADICAL EQUATIONS - faculty.pingry.k12.nj.usfaculty.pingry.k12.nj.us/vmcgrath/documents/6RationalRoots.pdf · Radical Equations 2. 3. Fractional Equation Word Problems The denominator
Page 5: RADICAL EQUATIONS - faculty.pingry.k12.nj.usfaculty.pingry.k12.nj.us/vmcgrath/documents/6RationalRoots.pdf · Radical Equations 2. 3. Fractional Equation Word Problems The denominator
Page 6: RADICAL EQUATIONS - faculty.pingry.k12.nj.usfaculty.pingry.k12.nj.us/vmcgrath/documents/6RationalRoots.pdf · Radical Equations 2. 3. Fractional Equation Word Problems The denominator
Page 7: RADICAL EQUATIONS - faculty.pingry.k12.nj.usfaculty.pingry.k12.nj.us/vmcgrath/documents/6RationalRoots.pdf · Radical Equations 2. 3. Fractional Equation Word Problems The denominator

3.4 FRACTIONAL EQUATIONS

Method

• Factor denominators• Find the LCD• Multiply every term by the LCD• Reduce away the denominators; multiply the numerator by the remaining factor(s).• Solve the equation• Check your answer Restrictions?

Examples

1)

Page 8: RADICAL EQUATIONS - faculty.pingry.k12.nj.usfaculty.pingry.k12.nj.us/vmcgrath/documents/6RationalRoots.pdf · Radical Equations 2. 3. Fractional Equation Word Problems The denominator

2)

3) = 0

Page 9: RADICAL EQUATIONS - faculty.pingry.k12.nj.usfaculty.pingry.k12.nj.us/vmcgrath/documents/6RationalRoots.pdf · Radical Equations 2. 3. Fractional Equation Word Problems The denominator

(4)

(5)

Page 10: RADICAL EQUATIONS - faculty.pingry.k12.nj.usfaculty.pingry.k12.nj.us/vmcgrath/documents/6RationalRoots.pdf · Radical Equations 2. 3. Fractional Equation Word Problems The denominator
Page 11: RADICAL EQUATIONS - faculty.pingry.k12.nj.usfaculty.pingry.k12.nj.us/vmcgrath/documents/6RationalRoots.pdf · Radical Equations 2. 3. Fractional Equation Word Problems The denominator
Page 12: RADICAL EQUATIONS - faculty.pingry.k12.nj.usfaculty.pingry.k12.nj.us/vmcgrath/documents/6RationalRoots.pdf · Radical Equations 2. 3. Fractional Equation Word Problems The denominator
Page 13: RADICAL EQUATIONS - faculty.pingry.k12.nj.usfaculty.pingry.k12.nj.us/vmcgrath/documents/6RationalRoots.pdf · Radical Equations 2. 3. Fractional Equation Word Problems The denominator
Page 14: RADICAL EQUATIONS - faculty.pingry.k12.nj.usfaculty.pingry.k12.nj.us/vmcgrath/documents/6RationalRoots.pdf · Radical Equations 2. 3. Fractional Equation Word Problems The denominator
Page 15: RADICAL EQUATIONS - faculty.pingry.k12.nj.usfaculty.pingry.k12.nj.us/vmcgrath/documents/6RationalRoots.pdf · Radical Equations 2. 3. Fractional Equation Word Problems The denominator
Page 16: RADICAL EQUATIONS - faculty.pingry.k12.nj.usfaculty.pingry.k12.nj.us/vmcgrath/documents/6RationalRoots.pdf · Radical Equations 2. 3. Fractional Equation Word Problems The denominator

Algebra 3 Extra Fractional Eq Practice

Solve each of the following for x please.

(1)

(2)

Page 17: RADICAL EQUATIONS - faculty.pingry.k12.nj.usfaculty.pingry.k12.nj.us/vmcgrath/documents/6RationalRoots.pdf · Radical Equations 2. 3. Fractional Equation Word Problems The denominator

(3)

(4)

Page 18: RADICAL EQUATIONS - faculty.pingry.k12.nj.usfaculty.pingry.k12.nj.us/vmcgrath/documents/6RationalRoots.pdf · Radical Equations 2. 3. Fractional Equation Word Problems The denominator

(5)

(6)

Page 19: RADICAL EQUATIONS - faculty.pingry.k12.nj.usfaculty.pingry.k12.nj.us/vmcgrath/documents/6RationalRoots.pdf · Radical Equations 2. 3. Fractional Equation Word Problems The denominator
Page 20: RADICAL EQUATIONS - faculty.pingry.k12.nj.usfaculty.pingry.k12.nj.us/vmcgrath/documents/6RationalRoots.pdf · Radical Equations 2. 3. Fractional Equation Word Problems The denominator
Page 21: RADICAL EQUATIONS - faculty.pingry.k12.nj.usfaculty.pingry.k12.nj.us/vmcgrath/documents/6RationalRoots.pdf · Radical Equations 2. 3. Fractional Equation Word Problems The denominator