Do Now 4/29/19 Take out CW/HW from last week. Practice worksheet 9.1

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Do Now 4/29/19 Take out CW/HW from last week. Practice worksheet 9.1 Copy HW in your planner. Text p. 501, #4-32 evens Quiz Wednesday, Sections 9.1 & 9.3 A= 36 What is the area for each figure? A= 16 A = 6² A = 4² What are the dimensions for each figure? 6 Write an equation for area of the figure. 4 Can you think of an equation for ONE side of the figure? 4 6

Practice worksheet 9.1

Practice worksheet 9.1

Chapter 9 “Solving Quadratic Equations” (9.1) Simplifying Radical Expressions (9.3) Solving Quadratic Equations Using Square Roots (9.4) Solving Quadratic Equations by Completing the Square (9.5) Solving Quadratic Equations Using the Quadratic Formula (9.6) Solving Nonlinear Systems of Equations

Learning Goal Learning Target SWBAT solve quadratic equations Learning Target SWBAT solve quadratic equations using square roots.

Section 6.2 “Radical & Rational Exponents” Remember This??? Section 6.2 “Radical & Rational Exponents” If b² = a then b is the square root of a. The SQUARE ROOT of a number is denoted by the symbol , which is called a radical. radicand

Square Roots The square of an integer is called a perfect square. Remember This??? Square Roots All positive real numbers have two square roots, a positive and negative square root. The symbol is read as “plus or minus” and refers to both the positive and negative square root. Negative real numbers do not have real square roots. So there is no solution. no solution The square of an integer is called a perfect square.

Not PERFECT??? Remember This??? The square root of a whole number that is NOT a perfect square is an IRRATIONAL NUMBER. numbers that cannot be written as a quotient (fraction, ratio) of two integers and the decimal neither terminates nor repeats. To find the square root of a number that is not a perfect square estimate or use a calculator to find the square root.

Section 9.3 “Solving Quadratic Equations Using Square Roots” To use square roots to solve a quadratic equation of the form ax² + bx + c = 0, first isolate x² on one side of the equation to obtain x² = d. Solving x² = d by Taking Square Roots Examples - If d > 0, then x² = d has two solutions: - If d = 0, then x² = d has one solution: - If d < 0, then x² = d has no solution: no solution no solution

Try It Out… No solution

Take square roots of a fraction In cases where you need to take the square root of a fraction whose numerator and denominator are perfect squares, the radical can be written as a fraction. For example, can be written as .

Try It Out…

Solve the quadratic equation Solve the quadratic equation. Round your answer to the nearest hundredth.

A touch tank has a height of 3 feet A touch tank has a height of 3 feet. Its length is three times its width. The volume of the tank is 270 ft.³. Find the length and width of the tank.

Homework Text p. 501, #4-32 evens