Equation Review-Advanced Algebra

Quadratic Equations

100

15x^2-20=940

x = 8

x = -8

200

(3x+2)(5x-1)=0

x=1/5 and x = -2/3

300

8x^2-3x+4=46.5

x=5/2 and x=-17/8

400

3x^2-2x-17=0

(1+-2sqrt13)/3

500

5x^2-2x+7=0

NO REAL SOLUTION

Exponential Equations

100

5*2^x=20

x=2

200

3^x=20

x= 2.73

300

8*2^x+3=59

x=2.81

400

5^(x-3)=21

x=4.89

500

2*4^(x-7)+1=20

x=8.62

Rational Equations

100

1/x=40

x= 1/40

200

2/(3x)+5/(x)=85/3

x=1/5

300

(2x)/(x+1)+3/x=34/15

x=5 and x = -9/4

400

7/x^2-5=3/x^2

x=+-(2sqrt5)/5

500

x/(x+3)=8/(x+6)

x=6 and x=-4

Radical Equations

100

sqrtx=20

x = 400

200

root(3)(x+2)=4

x=62

300

8*root(4)(2x+9)=40

x=308

400

x^(1/3)+5=40

x=42,875

500

-sqrt(x-2)-7=4

x = 123 but this is extraneous so

NO SOLUTION

Logarithmic Equations

100

log(3x+1)=5

x=33,333

200

log_2(x-3)=4

x=19

300

log_4(x)+log_4(x)=2

x=4

400

log(30x)-log(2)=4

x=2000/3

500

log_3(x+1)+log_3(2)=7

x=2185/2