Solving quadratic functions with real solutions

Presentation

•

Mathematics

•

9th Grade

•

Hard

•

CCSS

HSA-REI.B.4B, 8.EE.A.2

Standards-aligned

Sokhna Kabore

Used 20+ times

FREE Resource

10 Slides • 7 Questions

Solving quadratic functions with real solutions

By graphing

Do you have any ideas on how to solve a quadratic function by graphing?
What do you wonder?

The solution of a quadratic equation and the x-intercepts of the graph of the related function are often called

Roots of the equation
zeros of the function

Multiple Choice

$x^2-1=0$

What are the solutions of given equation?

There is one solution x = -1

There is one solution x = 1

There is one solution

y = -1

There are two solutions $x=\pm1$

Multiple Choice

$x^2+1=0$

What are the solutions of given equation?

There is one solution

There are two solutions

There is no real-number solution

Multiple Choice

$x^2=0$

What are the solutions of given equation?

There is one solution x = 0

There are two solutions

There is no real-number solution

By Factoring

Do you have any ideas on how to solve quadratic equations by factoring?
What do you wonder?

Diamond and box method for factoring

Multiple Choice

Convert x²- 9x + 20 to factored form and solve.

(x-10)(x+2); x = -2, 10

(x+4)(x+5); x = -5, -4

(x-4)(x-5); x = 4, 5

Not factorable

Multiple Choice

Solve by factoring
$x^2+12x+35=0$

x = - 5 or x = - 7

x = 5 or x = 7

x = - 35 or x = - 1

x = - 9 or x = - 4

Square root method

Do you have any ideas on how to solve a quadratic function using the square root?
What do you wonder?

Multiple Choice

x² = 16

± 4

± 8

Multiple Choice

x² + 4 = 68

± 8

± √8

± 64

Next Class

we will learn how to solve quadratic functions using complete the square and quadratic formula methods

Solving quadratic functions with real solutions

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