1. Using topics below which are of most interest and usefulness to you, why? Sha

Question

1. Using topics below which are of most interest and usefulness to you, why? Share a problem from a topic you think is interesting or useful (Don’t include the solution).

2. Using topics below which one did you find difficult, why? Share an example problem of this topic.

Unit 7 Topics:

Extract Square Roots

Solve by Completing the Square

Apply the Quadratic Formula

Solve Equations in Quadratic Form

Solve Application Problems Using Quadratic Equations Find the Vertex of Quadratic Equations

Graph Quadratic Equations

Explanation / Answer

example of extracting square roots

x^2 = 25

for solving this we take square root of both sides

square root (x^2) = sqrt ( 25 )

x = + - 5

2) example of completing square method

x^2 + 4x + 1 = 0

we move the constant term on the other side

x^2 + 4x = -1

adding square of half of x term coefficient

x^2 + 4x + 4 = -1 + 4

making left side a perfect square

( x+ 2)^2 = 3

taking square root of both sides

x+2 = +- sqrt 3

x = -2 +- sqrt 3

3) Apply the Quadratic Formula

solving the same example by quadratic formula

x^2 + 4x + 1 = 0

applying quadratic formula

x = { - b +- sqrt (b^2 - 4ac )} / 2a

a = 1 , b = 4 , c = 1

x= { -4 +- sqrt ( 16- 4) } / 2

x = -2 +- sqrt 3

4) Solve Equations in Quadratic Form

any equation of the form ax^2 + bx + c = 0 if called quadratic equations

we can solve it by quadratic formula , factroing , completing square method

5) Solve Application Problems Using Quadratic Equations

example : a ball is thrown straight up , from 2 m above the ground , with a velocity of 16m/s .when does it hit the ground ?

setting up the equations

h = 2 + 16t - 5t^2

solving the equation setting h = 0

6) Find the Vertex of Quadratic Equations

vertex form of quadratic equation is y = a (x -h)^2 + k

where , h and k are vertex

example y = x^2 - 2x + 2

this can be written as y = ( x -1)^2 + 1

vertex is 1 , 1

graphing the equation

Related Questions

Navigate

• Browse (All)
• Browse 1
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.