Algebra 2 - Quadratics Review

Solving by Roots

100

Solve the equation. x² =-100

&plusmn 10i

300

Solve the equation. (x+5)²=25

x=0, -10

500

Solve the equation. (x+4)²-2=-10

x=-2&plusmn i8

Factoring

100

Factor completely: 2x²+9x-5

(x+5)(2x-1)

300

Solve by factoring: 3x²+10x-5=3

(3x-2)(x+4) ===>2/3, -4

500

Solve by Factoring. 6x²-39x-45=0

3(2x-15)(x+1) ====> (x= 15/2, -1)

Completing the Square

100

Solve by completing the square. x²+6x-5=0

x= -3± √ 14 

300

Solve by completing the square. 0=x²-4x+13

x=2&plusmn 3i

500

Solve by completing the square. 0 = 2x²-5x+8

x=5/2&plusmn i7/4

Circles!

100

Identify the center and radius of (x-4)²+(y+5)²=49.

Center: (4, -5) Radius: 7

300

Write the equation of the circle with radius 5 and center (2, -8).

(x-2)²+(y+8)²=25

Exponents

100

Simplify! (x²y⁴)³

x⁶y¹²

300

(x^-3y¹⁰)/(x⁶y^-10)

y²⁰/x⁹

500

Simplify! (5x²/y^-4)(y⁵/(15x^-4))

x⁶y⁹/3