10.4 - Radical Equations

Vocab

100

Radical equations

Equations that have a variable as the radicand

200

Radicand

The expression underneath the radical

300

Binomial

Two terms that cannot be combined

400

Perfect square trinomial

a^2 +- 2ab + b^2

500

Extraneous solution

A solution that comes from factoring the equation but does not make the original equation true

Easy Problems

100

(sqrt(t)) - 4 = 7

t = 121

200

sqrt(c + 10) = 4

c = 6

300

(sqrt(10h)) + 1 = 21

h = 40

400

(sqrt(2y)) - 3 = 5

y = 32

500

(sqrt(8x)) + 8 = 12

x = 2

Hard Problems

100

(sqrt(a - 2)) + 4 = a

a = 6

200

(sqrt(k + 7)) = 3(sqrt(2))

k = 11

300

2(sqrt(x - 11)) - 8 = 4

x = 47

400

sqrt(1 - 2t) = 1 + t

t = 0

500

(sqrt (2a^2 - 121)) = a

a = 11