Find three solutions to the equation (x^2 − 9)(x^3 − 8) = 0.

The three roots of the equation are, x = +9 , x = -9 and x = 2

Step-by-step explanation:

Data given in the question:

(x² − 9)(x³ − 8) = 0.

Now,

for the above relation to be true the  following condition must be followed:

Either (x² − 9) = 0 (1)

or

(x³ − 8) = 0 (2)

Therefore,

considering the equation 1, we have

(x² − 9) = 0

adding 9 to the both sides

we get

x² − 9 + 9 = 0 + 9

or

x² + 0 = 9

taking the square root both the sides, we get

√x² = √9

or

x = ± 9

thus,

x = + 9 and, x = -9

considering the equation 2, we have

(x³ − 8) = 0

adding 8 both the sides

we have

x³ − 8 + 8 = 0 + 8

or

x³ = 8

or

x³ = 2 × 2 × 2

taking the cube root both the sides, we get

∛x³ = ∛(2 × 2 × 2)

or

x = 2

Hence,

The three roots of the equation are, x = +9 , x = -9 and x = 2

stew reads at the fastest rate of 265 words per minute.

step-by-step explanation:

it's a given that felicia reads at 260 word per minute and on connie's graph we can see that she reads 200 words per minute. since stew's table tells us that he read 795 in 3 minutes, we can divide 795 by 3 to find out how many words he reads per minute.

795/3 = 265

stew reads 265 words per minute - he reads at the fastest rate since felecia reads at 260 words per minute and connie reads at 200 words per minute.

stew (265) > felecia (260) > connie (200)