### Solving a fourth-degree polynomial equation by using a substitution.

Solve the following fourth-degree equations by substituting z=x^2 a. 5x^4 - 23x^2 + 18 = 0 b. 6x^4 + 21x^2 + 12 = 10x^2 + 8

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Solve the following fourth-degree equations by substituting z=x^2 a. 5x^4 - 23x^2 + 18 = 0 b. 6x^4 + 21x^2 + 12 = 10x^2 + 8

Please help me solve this equation. I worked it out but am not sure of my answer or if I can simplify it. I used the four step method of solving a linear first order equation, so if you could solve it in the same manner, it would be appreciated. Thank you. (t+1)ds/dt +2s=3(t+1) + 1/(t+1)^2

Simplify the following 1. 7/8 + 5/6x 2. 11/7y - 7/8y

SPERM WHALE HAS THE HEAVIEST BRAIN, REACHING 9200 GRAMS THE BRAIN OF AN ELEPHANT WEIGHS 7500 AND A WHEAL BRAIN WHICH WEIGHTS 7185 GRAMS, AND EACH HALF OF ITS BRAIN WIGHS THE SAME AMOUNT AS THE OTHER, WHICH IS THE BEST ESTIMATE OF THE WEIGHT, IN KILOGRAMS

FIND THE SUM, DIFFERENCE, PRODUCT, AND QUOTIENT (ROUND TO NEAREST HUNDREDTH IF NEEDED OF THE FOLLOWING TWO NUMBERS. 56.032 AND 3.95

An average human hair grows about 1/2 inch per month. How much does a human hair grow in 3 1/2 months? Chabely is getting ready for a backpacking trip. She packs 4 2/3 lbs of food and 5 1/8 lbs of eqiment into an 2 14 lbs backpack. What is the total weight she will be carrying? Evaluate 7/8+5/6x Solve the equatio

This problem set is comprised of 8 questions involving logarithmic functions. Complete description of the problem can be found in the attached pdf file. 1. Question involves log to the base of 10 2. Question involves log to the base of 2 3. Question involves finding Decibel Levels 4. Word problem on Earthquake Intensity

Consider the following system in Fig.1 (see attached file). Determine K so that the steady state error for unit step input is zero.

When using the quadratic formula to solve a quadratic equation ax2 + bx + c = 0, the discriminant is b2 - 4ac. This discriminant can be positive, zero, or negative. (When the discriminate is negative, then we have the square root of a negative number. This is called an imaginary number, sqrt(-1) = i. ) Explain what the value

(See attached file for full problem description) Please help with the following questions: 38, 40, 46, 50, 58, 62, 64, 70, 74, 78

Please help with the following questions: 2, 14, 22, 36, 38, 44, 54 Please see the attached file for the fully formatted problems.

Please help with the following questions: 14, 18, 20, 26, 30, 34, 38, 42, 50, 52, 56 and 64 Please see the attached file for the fully formatted problems.

1. Let Y=L^αK^1-α, 0<α<1; let y=lnY, l=lnL, k=lnK. a.Show that this production function is linear in its natural logarithms. b.Show that the instantaneous percentage change in out put is the weighted sum of the instantaneous change in L and K, with weights α and (1-α) 2. Suppose that the production

F(x) = 2x^2 - 8x, where x = or > 2 Even though I know that this particular quadratic equation does have an inverse since the domain is limited, I don't know how to figure out the formula for the inverse for a quadratic equation. I don't know how to solve for x, since there are two different x's. Thank you!

5. For a quadratic equation of the form, ax2 + bx + c = 0, how do you calculate the discriminant? What information about the equation can we learn by calculating the discriminant?

4. Solve the equations by completing the square, showing all your work: a. x2 + 4x -12 = 0 b. c2 - c - 6 = 0

When three resistors of resistance values R1, R2, and R3 are placed in a parallel pattern within an electrical circuit (see diagram attached), the total resistance, RT, is computed from the formula: 1/RT = 1/R1 + 1/R2 + 1/R3. a. Rewrite the resistance formula by solving for RT and simplifying (i.e. RT = ...) b.

See attached document. Please use only elementary theorems about linear operators, transformations, and definitions of invertibility.

(See attached file for full problem description) Please help with the following: 10,18,20, 28, 34, 38, 40 42, 50, 56, 62, 66

Please see the attached file for the fully formatted problems. Please help with these questions: 10,16,22,26,30,34,49,46,50,54, 60

One of the archaeologists you interviewed for your article is graphing asymptotes to illustrate the data generated through carbon dating the half-life of fossil specimens. Help him with his work by solving these problems: 1. Explain and contrast the types of asymptotes considered for rational functions. 2. B

What is the relationship between solutions to a quadratic equation and factors of a quadratic polynomial?

Consider the following characteristic equations: (a) s^3 + 2s^2 + s +2 = 0 (b) s^5 + 2s^4 + 24s^3 + 48s^2 - 25s - 50 = 0 Using Routh stability criterion, determine whether the above systems are stable or unstable.

The questions relate to graphing of different simple functions. See attached file for full problem description.

I'm trying to factor the expression: 3a^2 - 13ab - 10b^2 But, I just don't know how. Thanks

In a step-by-step order list the process for solving the following: 2x(5*2 - 3) > x(3-5) - 2(x - 1) and solve the problem.

1. Evaluate the following: e = -2.7= 40 = LN 2 = (1.01)365 = (-8)2/3 = 5-3/2+1 = 2. A stock price went down by 10%, and subsequently went up by 10%. If the final price was $20, what was the original price? (Please show your thinking here.) 3. In a p

Solve the inequality: 3/(x+2) > 2/(x-1)

Complete each ordered pair so that it satisfies the given equation a = b^2 + 4b + 5 (-2, y ) ( x ,2)

1) Find the perfect square trinomial whose first two terms are given: w^2 - 5w 2) Solve by completing the square: 2m^2 - m - 15 = 0 3) Solve by using the quadratic formula: -x^2 - 3x + 5 = 0