Busy. Please wait.

Forgot Password?

Don't have an account?  Sign up 

show password


Make sure to remember your password. If you forget it there is no way for StudyStack to send you a reset link. You would need to create a new account.

By signing up, I agree to StudyStack's Terms of Service and Privacy Policy.

Already a StudyStack user? Log In

Reset Password
Enter the email address associated with your account, and we'll email you a link to reset your password.

Remove ads
Don't know (0)
Know (0)
remaining cards (0)
To flip the current card, click it or press the Spacebar key.  To move the current card to one of the three colored boxes, click on the box.  You may also press the UP ARROW key to move the card to the "Know" box, the DOWN ARROW key to move the card to the "Don't know" box, or the RIGHT ARROW key to move the card to the Remaining box.  You may also click on the card displayed in any of the three boxes to bring that card back to the center.

Pass complete!

"Know" box contains:
Time elapsed:
restart all cards

Embed Code - If you would like this activity on your web page, copy the script below and paste it into your web page.

  Normal Size     Small Size show me how


Solving Quadratic Equations by Completing the Square

What is the Square Root Property? If <i>b</i> is a real number and a^2=b, then a=-√b and a=+√b
What does +/-4 mean? "Plus or minus four"
Use the Square Root Property to solve and check x^2=36 x^2=36 = √x^2=√36 = x=+/-6 -ALWAYS CHECK YOUR ANSWERS!
Use the Square Root Property to solve and check x^2-16=0 x^2-16=0 = x^2=16 = √x^2=√16 = x=+/-4 -ALWAYS CHECK YOUR ANSWERS!
Use the Square Root Property to solve and check (2x-5)^2=-16 √(2x-5)^2=√-16 = 2x-5=+/-4i = x=5+/-4i/2 FINAL ANSWER: 5+4i/2 and 5-4i/2
To Complete the Square, you must first: Add the square of half the coefficient of <i>p</i> to both sides to make a perfect square trinomial.
Complete the Square: b^2+4b b^2+4b= (4*.5)^2 =2^2=4, SO: b^2+4b+4 is the perfect square trinomial, now FACTOR: (b+2)^2=0, THEN: √(b+2)^2=√0, b=-2
Solve by Completing the Square: 2x^2-8x+3=0 Divide by 2: 2x^2/2-8x/2=-3/2, x^2-4x=-3/2, THEN: (4*.5)^2=4, SO: x^2-4x+4=11/2 AND: (x-2)^2=11/2 NEXT: √(x-2)^2=√11/2, FINALLY: x=2+/-√11/2
What types of problems does the text list that can be modeled after Quadratic Equations and solved? Interest Problems, including compound interest, simple interest, and interest rate calculations
What do the formulas I=Prt AND A=P(1+r)^t help to solve? Simple and Compound Interest problems
Using A=P(1+r)^t, Solve: Find the interest rate r, if $4000 compounded annually grows to $4540 in 2 years. 4540=4000(1+r)^2 DIVIDE: 4540/4000=4000(1+r)^2/4000 SO, 1.135=(1+r)^2 SQUARE ROOT PROPERTY: √1.135=√(1+r)^2 EQUALS: +/-1.06=1+r, -1+/-1.06=r, SO NOW: KEEP -1+1.06=0.06 to find: r=6%
Calculate the Simple Interest Problem using I=Prt: $2,000 is invested at the simple interest rate 5% annually for 1 year. I=2000*.05*1 SO: I=100 The simple interest earned in 1 year is $100, bringing the annual total to $2,100
Created by: 1116100094