Mathematics

How do you solve x^2+5x+10=0 using square root property

x^2 + 5x + 10 = 0 (x + 5/2)^2 + 15/4 = 0 x = 1/2(-5 - i√15) x = 1/2(-5 + i√15)-The only way to solve this using the square root property is to complete the square. By completing the square, we have:

You have $25,000 dollars and you put it into a savings account that earns 6% compounded monthly.

How many years will it take to earn $75,000 dollars.-A = P(1 + (r/n))^(nt) 75000 = 25000(1 + (.06/12))^12t 3 = 1.005^12t ln 3 / ln 1.005^12 = t 18.355942271967703859009575555457 = t 18.36 years-18yea

Evaluate the following definite integral: ∫ (xe^(-x^2))dx

Evaluate the following definite integral: ∫ (xe^(-x^2))dx Note: ∫(a=0, b=1) Any and all help is much appreciated! Thanks so much in advance!-∫ (xe^(-x^2))dx from 0 to 1 let x^2 = t, when x = 0, t

How do I check both solutions (see below)

x^2=100 sq.x^2 = +/- sq.100 x= +/-10 x= +10 Or x= -10--10^2 = 100 10^2 = 100 Both solutions are true.-how old are you?

Everyone's favorite: Trigonometric substitution to solve integrals help

The question is ∫ (dx) / [ √(9x^2 + 4) ]. If you know anything about this, I will spare myself some time and just skip to my problem... I end with the answer (1/3) ln [|√(9x^2 + 4) +3x| / 2] + C Ap

Which of the following is a factor of x^3+x^2-6x

please help with lots of details explaining why you did what you did. greatly appreciate it, thanks-factoring is basically the question instead of the answer. when it says to factor something, you are

Can someone please help me

How do you work this problem?-17w+40=8w^2+5w-first i put all the ws on the same side by adding 17w to 5w so 8w²+22w=40 ( i switched the sides around, personal preference) then subtracted 40 8w²+22w-4

What is the derivative of cosx

-sinx-diff(cos(x), x) = - sin(x)-http://www.math.com/tables/derivatives/m… Does Google not work where you are?--cosx

How do you integrate with absolute value

From 0 to 2.Integral of the absolute value of (x+3)^(1/2)-2xdx My instinct says (2/3)(x+3)^(3/2) - 2x^2 /2.But I think that would be wrong?-we should note that the function is 0 at x = 1 , > 0 on [0,

Evaluate the following indefinite integral: ∫ ((e^x) / ((e^x) +1))dx

Evaluate the following indefinite integral: ∫ ((e^x) / ((e^x) +1))dx Any and all help is much appreciated! Thanks so much in advance!-Substitution works. Let u = e^x + 1. du = e^x dx. Integral beco

Math help please and thanks

One card is selected at random from a deck of cards. Determine the probability that the card is a jack or an ace.1/21/262/133/131/13-Im assuming there are no jokers. 4 jacks 4 aces 52 cards (4+4)/52

Does anyone know how to do this

Can you explain clearly? I feel like I should know but I cant seem to grasp it. http://i51.tinypic.com/2v0zvno.gif-Okay, so these two triangles are similar. Their side lengths are proportional, so if

A quadrilateral is a ______ if and only if its diagonals are perpendicular.

I think the answer is either KITE or else RHOMBUS, but Im not sure which one. Help! Thanks!-Kite is the best answer. Youre correct that both kites and rhombi have perpendicular diagonals (as do squar

Finding eigenvector for complex matrices

Ok... so I think I row reduced this matrix properly: 5x_1 + (3-i)x_2 = 0 (-3-i)x_1 - 2x_2 = 0 to 5x_1 + (3-i)x_2 = 0 0x_1 + 0x_2 = 0 Im really having trouble finding an eigenvector for this matrix.

I need help with a geometry problem

I am trying to re-learn geometry and it isnt going so well. I remember the RULES but I dont know how to apply them. This one is giving me trouble: http://i55.tinypic.com/nd09c6.gif I have to use the