Algebra Radical Equations

{2}

{5}

{9}

{7}

(-∞, -5/3] ∪ [1/3, ∞)

(-∞, -6/7] ∪ [5/6, ∞)

(-∞, -4/7] ∪ [1/2, ∞)

(∞, -6/7] ∪ [1/3, ∞)

x = -2

x = 4

x = -1

x = -2

[-7, 13/2)

[-12, 7/2)

[-3, 8/3)

[3, 6/5)

{1, 219}

{1, 328}

{1, 129}

{1, 512}

one method for graphing such equations.

a solution of an equation in two variables.

the set of all points whose coordinates satisfy the equation.

are ordered pairs of real numbers which denote distance and direction along the x axis.

–1

0

1

2

{-1/2,2}

{1/2,3}

{2,4}

{-1/3,5}

x = 0

x = -1

x = -3

x = 3

16

-16

2

-2

{4}

{6}

{5}

{3}

{1−53√}3,{1+53√}3

$\frac{\left(1–5\sqrt{3}\right)}{3},\frac{\left(1+5\sqrt{3}\right)}{3}$

{1−63√}2,{1+63√}2

$\frac{\left(1–6\sqrt{3}\right)}{2},\frac{\left(1+6\sqrt{3}\right)}{2}$

{1−47√}4,{1+23√}4

$\frac{\left(1–4\sqrt{7}\right)}{4},\frac{\left(1+2\sqrt{3}\right)}{4}$

{1−32√}3,1+32√3

$\frac{\left(1–3\sqrt{2}\right)}{3},\frac{1+3\sqrt{2}}{3}$

{1/2,2}

{1/2,7/5}

{3,-5/2}

{-1/3,5}

1st quadrant.

X axis.

Y intercept.

X intercept.

[21/8, ∞)

[12/3, -∞)

[4,-∞)

(-∞, ∞)

{2, 3, 4}

{-1, 2, 5}

{1, 1, 3}

{-1, 1, 4}