X^4-13x^2+12=0 solve for x

Let

x = ± 1, x = ± 2

Step-by-step explanation:

Given

- 13x² + 12 = 0

Use the substitution u = x² , then

u² - 13u + 12 = 0 ← in standard form

(u - 1)(u - 12) = 0 ← in factored form

Equate each factor to zero and solve for u

u - 1 = 0 ⇒ u = 1

u - 12 = 0 ⇒ u = 12

Now substitute x² = u back, that is

x² = 1 ( take the square root of both sides )

x = ± = ± 1

x² = 12 , then

x = ± = ± = ± 2

the answer is 200

step-by-step explanation:

the way the question is worded, it seems to imply the $264 interest is simple interest, not compound interest.

the simple interest for 2 years is $264; the simple interest for 1 year is $132.

$132 interest on a $600 investment means an interest rate of (132/600)*100 = 22%.

the value of $200 at 22% interest compounded annually for three years is

200%281.22%29%5e3

the amount of interest is that value, minus the original $200.

hello,

b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

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