Find all solutions to the following quadratic equations, and write each equation in factored form.
a. x^2 + 25 = 0
b. −x^2 − 16 = −7
c. (x + 2)^2 + 1 = 0
d. (x + 2)^2 = x
e. (x^2 + 1)^2 + 2(x^2 + 1) − 8 = 0
f. (2x − 1)^2 = (x + 1)^2 − 3
g. x^3 + x^2 − 2x = 0
h. x^3 − 2x^2 + 4x − 8 = 0

(a) The solutions are:

(b) The solutions are:

(c) The solutions are:

(d) The solutions are:

(e) The solutions are:

(f) The solutions are:

(g) The solutions are:

(h) The solutions are:

Step-by-step explanation:

To find the solutions of these quadratic equations you must:

(a) For

The solutions are:

(b) For

The solutions are:

(c) For

The solutions are:

(d) For

For a quadratic equation of the form the solutions are:

The solutions are:

(e) For

The solutions are:

(f) For

The solutions are:

(g) For

Using the Zero Factor Theorem: = 0 if and only if = 0 or = 0

The solutions are:

(h) For

Using the Zero Factor Theorem: = 0 if and only if = 0 or = 0

The solutions are:

x ≥ 18 is your answer

step-by-step explanation:

let "a number" = x

(2/3)x + 17 ≥ 29

isolate the variable (x). do the opposite of pemdas (parenthesis, exponent (& root), multiplication, division, addition, subtraction).

first, subtract 17 from both sides.

(2/3)x + 17 (-17) ≥ 29 (-17)

(2/3)x ≥ 29 - 17

(2/3)x ≥ 12

next, multiply 3/2 to both sides to isolate the x

(3/2)(2/3)x ≥ 12(3/2)

x ≥ 12(3/2)

simplify. multiply, then divide

x ≥ (12 * 3)/2

x ≥ (36)/2

x ≥ 18

x ≥ 18 is your answer

~

30 people weigh 160 pounds or more