Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 367560: Solving (2x+3)(2x+5)(x-1)(x-2)=30, the roots available are :
Click here to see answer by Fombitz(13828)

Question 369036: Y=2(x-1)(x-6)
Click here to see answer by jokaehler(26)

Question 369077: the roots 2x^2-3x+c=0 are imaginary if c equals
Click here to see answer by jsmallt9(3296)

Question 369077: the roots 2x^2-3x+c=0 are imaginary if c equals
Click here to see answer by CharlesG2(828)

Question 369203: quadratic equation.
Solutions: 6, 4
(x-6) (x-4)

Click here to see answer by Alan3354(30993)

Question 369235: what are rational expressions? Why must we always be mindful of the final value of the denominator in a rational expression? For example, consider the rational expression 3x/(x2 – 16). What values in the denominator must we be mindful of? Explain why.

Click here to see answer by lefty4ever26(59)

Question 369244: Graph the quadratic function f(x)=7(x+1)^2+4: state the ordeed pairs representing the x-intercept and y-intercept (if any) and the vertex or the parabola.
Click here to see answer by stanbon(57412)

Question 369361: Use the quadratic formula to solve the equation.

Click here to see answer by acalgebra(30)

Question 369361: Use the quadratic formula to solve the equation.

Click here to see answer by priyavarat(1)

Question 369361: Use the quadratic formula to solve the equation.

Click here to see answer by Edwin McCravy(8918)

Question 369351: Graph y=x^2-1
and graph y=-3x^2
label the vertex and the axis of symmetry
Click here to see answer by Fombitz(13828)

Question 369317: y=5/4(x-3)^2
Click here to see answer by Fombitz(13828)

Question 369288: In solving the equation (x + 3)(x – 3) = -8, Eric stated that the solution would be
x + 3 = -8 => x = -11
or
(x – 3) = -8 => x = -5
However, at least one of these solutions fails to work when substituted back into the original equation. Why is that? Please help Eric to understand better; solve the problem yourself, and explain your reasoning.
Click here to see answer by Fombitz(13828)

Question 369437: Area of a rug. Find the trinomial A(x) that represents the area of a rectangle rug whose sides are x + 3 and 2x – 1 feet. Find A(4).
Click here to see answer by mananth(12270)

Question 369498: Find the largest value of k such that the roots of the equation 2x^2+5x+k=0 are real.
Click here to see answer by Fombitz(13828)

Question 369498: Find the largest value of k such that the roots of the equation 2x^2+5x+k=0 are real.
Click here to see answer by CharlesG2(828)

Question 369375: 2x^2-4x=-9 complex
Click here to see answer by Fombitz(13828)

Question 369534: Without graphing f(x)=x^2-8x+6, find the real zeroes.
Click here to see answer by Fombitz(13828)

Question 369536: An object is launched straight up into the air at an initial velocity of 64 feet per second. It is launched from a height of 6 feet off the ground. Its height H, in feet, at t seconds is given by the equation H = -16t^2 + 64t + 6. Find all times t that the object is at a height of 54 feet off the ground.
Click here to see answer by ewatrrr(10682)

Question 369791: I need help with a quadratic problem, I am having trouble with this because it doesn't make sense to me at first.
If b and a are the two roots of x^2-5x+3=0, then what is(a+b)(ab)=?
What I do not understand is, to factor x^2-5x+3=0 the products of 3, have to equal the sum of -5.
But it doesn't work out.
I used an online calculator to figure out the roots are: 5+sqroot(17)/2 and 5-sqroot(17)/2
In order to get the answer of
(a+b)(ab) would I just multiply those?
Help is appreciated, this is on my quiz next week.
Click here to see answer by jim_thompson5910(28598)

Question 369819: How is factoring used to solve quadratic equations ?
Click here to see answer by robertb(4012)

Question 370023: solve equation x^2 + 24^2 = 26^2
Click here to see answer by mananth(12270)

Question 370023: solve equation x^2 + 24^2 = 26^2
Click here to see answer by robertb(4012)

Question 370127: I've been stuck on this problem for a really long time. I'm trying to figure out a problem reducible to a quadratic equation in a step by step method so I can understand how I get from one point to the other.
The problem is: w^4-6w^2-2=0
I only know this:
u = w^2
From my text and all the research I've done, I also know that I would rewrite this problem as:

u^2 - 6u - 2 = 0
I have to solve this but it's not factorable which is where I am absolutely stumped. This is an example problem on my homework I'm providing here so I have the answers for that but I just don't know how they got them.
This is the way they worked it out.....
u^2-6u-2=0
they solve for u...but how????
they got the answer
u=3-sqrt11 or u=3+sqrt11
then after this the problem needs to be solved for w.
Is there any way you can help and show me in a step by step fashion so I get this? Thank you. LeAnn

Click here to see answer by jim_thompson5910(28598)

Question 370040: If the product of two consecutive integers is decreased by 20 times the greater integer. The result is 442. Find the integers.
Click here to see answer by jsmallt9(3296)

Question 370199: so. a stage in the park is being decorated for Veterans Day. The stage is rectangular and has an area of 450 square feet. is 80 feet of skirting enough to create a skirt for all four sides of the stage? please show how you came to the answer. thank you!(:
Click here to see answer by solver91311(16897)

Question 370228: i have to write a quadratic equation in the variable x having the given numbers as solutions: -sqrt 10 and 8sqrt 10. This needs to be in standard from
ax^2+bx+c=0
Click here to see answer by robertb(4012)

Question 370229: A model for the path of a toy rocket is given by 68t-4.9t(squared), where h is the altitude in meters and t is the time in seconds. Explain how to find both the maximum altitude of the rocket and how long it takes to reach that altitude.
Click here to see answer by Alan3354(30993)

Question 370235: find real values for x and y so that each of the following equations is true:
(2x-1)-(3y+2)i=7+2i
Click here to see answer by robertb(4012)

Question 370241: how you inputted the quadratic formula please.
Click here to see answer by Fombitz(13828)

Question 370253: Given -3x^2+9x+c=0 and the two roots sqrt( 2 ) and 3-sqrt( 2 ), find c.
Click here to see answer by robertb(4012)

Question 370370: Make a quadratic equation whose roots are -2 + sqrt( 5 ) and -2 - sqrt( 5 ).
Click here to see answer by edjones(7569)

Question 370368: Make a quadratic equation whose roots have a sum of 4 and a product of 3 and another equation for the sum of 16 and a product of -80.
Click here to see answer by edjones(7569)

Question 370377: x+2x^1/2-15=0
How is this solve by first writing it as a quadratic equation?
Click here to see answer by Alan3354(30993)

Question 370377: x+2x^1/2-15=0
How is this solve by first writing it as a quadratic equation?
Click here to see answer by ewatrrr(10682)

Question 370623: A common student error when solving a quadratic equation is simplifying incorrectly. Consider the following INCORRECT solution:
2+/- the square root of 7 divided by 2
=
1+/- square root of 7
Explain why x= 1+-sqrt7 is the incorrect solution.
Is this not able to be factored any further from 2+-sqrt7/2 because the whole numerator needs divided by 2?

Click here to see answer by amoresroy(333)

Question 370628: A train travels 360km at a uniform speed. If the speed had been 5km/h more, it would have taken 1 hour less for the same journey. Find the speed of the train
Click here to see answer by mananth(12270)

Question 370419: A rectangular parking lot has a length that is 4 yards greater than the width.The area of the parking lot is 140 square yards. Find the length and the width of the parking lot?
Click here to see answer by jsmallt9(3296)

Question 370794: what is the difference between a^3(a^5) and (a^3)^5
Click here to see answer by stanbon(57412)

Question 370971: x^4+3x^2-10=0
Click here to see answer by mananth(12270)

Question 371021: 2x^-7x+6=0
Click here to see answer by robertb(4012)

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