Solving Equations Trig/PreCalc Quiz Review

Rationalizing the Denominator

100

1/sqrt3

sqrt3/3

200

5/sqrt5

sqrt5

300

1/root4(3

root4(3)^3/3

400

a/root3(ab)

root3(ab)^2/b

500

(5a)/root5(a)^3

5root5a^2

Solve quadratics

100

x^2+5x-24=0

x=3 or x=-8

200

4x^2+12x+9=0

x=-3/2

300

9a^2-12a-5=0

x=-1/3 or x=5/3

400

x^2-3x+2=1

x=(3+-sqrt5)/2

500

x^2+4x+5

-2+-i

Solve with Radicals

100

sqrtx=4

x=16

200

sqrt(x-3)=6

x=39

300

sqrt(x-6)=x

x=3

400

sqrt(x+1) = x – 5

8

500

sqrt(x+3)=x-9

x=13

Solve with Exponents

100

x^2=4

x=+-2

200

(x-8)^2=36

x=2 or x=14

300

x^2-9=16

x=+-5

400

(x-2)^(3)=8

x=4

500

(x+2)^(3/2)=8

x=2

Fractional Equations

100

1/x+1/2=5/6

x=3

200

1/(x-1)=2/(x+2)

x=4

300

x/(x+1)+2/(x-3)=1

x=-5

400

x/(x+2)+1/(x-4)=6/((x+2)(x-4))

x=-1

500

(x+5)/(x-2)=5/(x+2)+28/(x^2-4)

x=-4

U sub

100

x^4-5x^2+4=0

x=-2, -1, 1, 2

200

x^4-10x^2+9

x=-3, -1, 1, 3

300

x^4-9x^2+14=0

x=+-sqrt2

x=+-sqrt7

400

x^(1/2)-3x^(1/4)-4=0

x=256

500

x^(1/3)-2x^(1/6)-3=0

x=729