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:

(a) the volume of the cone is 20/3 in3

hence, option a is correct.

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step-by-step explanation: