Chapter 5 Lesson 3 Solving Quadratic Equations by Finding Square Roots.

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Presentation transcript:

Chapter 5 Lesson 3 Solving Quadratic Equations by Finding Square Roots

VOCAB Square Root – is a number that produces a specified quantity when multiplied by itself Radical Sign – is the symbol for a square root Radicand – is the number beneath the radical sign Radical – is the whole expression Rationalizing the Denominator – is when you multiply the numerator and denominator by the denominator when there’s a radical in the denominator, this will eliminate the radical sign

DIRECTIONS (Simplifying) Combine Like Terms Distribute the Radical (ONLY for Fractions) Find a perfect square 4,9,16,25,36,49,64,81,100… Rewrite the radical as a multiplication problem Reduce your perfect Square

I DO (Simplifying) Simplify the expression

WE DO (Simplifying) Simplify the expression

YOU DO (Simplifying) Simplify the expression

DIRECTIONS (Solving Equations) Solve for x Use Inverse Operations To get x by itself Simplify

I DO (Solving Equations) Solve

WE DO (Solving Equations) Solve

YOU DO (Solving Equations) Solve

REVIEW Today we learned how to solve quadratic equations by finding square roots.

HOMEWORK Worksheet

ALGEBRA # Chapter 5 Lesson 4 Complex Numbers

VOCAB Imaginary Unit – is the square root of a negative number Standard Form is a + bi A and b are real numbers If a=0 and b doesn’t then it’s a PURE IMAGINARY NUMBER Complex Plane – a plane that holds complex numbers

DIRECTIONS (Plotting Points) Walk before you jump Walk the real number Jump the imaginary

I DO (Plotting Points) Plot the Points i i 3. 4i i

WE DO (Plotting Points) Plot the Points i i 3. -3i 4. -4

YOU DO (Plotting Points) Plot the Points i i i i