Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 247407: 25x^2+15x+9=0 I need to solve this by using the Quadratic Equation. It came out with -675 when I subtracted 225-900. Can you tell me what I should do next...
Click here to see answer by oberobic(2304)

Question 247379: Solve the equation using the quadratic formula.
4x^2 - 23x - 6 = 0
Click here to see answer by checkley77(12569)

Question 247661: How do I use this formula x=(-b±√(b^2-4ac))/2a and find out what a, b, and c are, then plug those numbers in and get x-intercepts? The equation to solve is
y=x^2+4x-1
Click here to see answer by oberobic(2304)

Question 247659: How do you solve ?
Click here to see answer by oberobic(2304)

Question 247739: Solve the following problems by defining the variable, writing a quadratic equation, solving it and then providing a written conclusion:
- Four more than the square root of twice a number is equal to 12. What is the number?
Click here to see answer by richwmiller(9135)

Question 247740: Solve the following problems by defining the variable, writing a quadratic equation, solving it and then providing a written conclusion.
- The sum of the squares of two consecutive even numbers is 1460. Find the numbers.
Click here to see answer by stanbon(57337)

Question 247743: Solve the following problems by defining the variable, writing a quadratic equation, solving it an then providing a written conclusion.
- A cannonball is fired form ground level on an arc described by h = -t^2 + 28t where "h" is the height in meters at any time "t" in seconds. Determine the number of seconds it would take the ball to reach a height of 192m. At what other point in its flight is also at 192m?
Click here to see answer by Alan3354(30993)

Question 247712: Using the discriminant, determine the number of x-intercepts the graph of the equation will have. Do not graph the equation.
y = -5x^2 + 4x - 1
Click here to see answer by Alan3354(30993)

Question 247788: Use the discriminant to determine whether the following equations have solutions that are: two different rational solutions; two different irrational solutions; exactly one rational solution; or two different imaginary solutions.
9x2 + 4x - 5 = 0
Click here to see answer by richwmiller(9135)

Question 247790: Translate the problem into a pair of linear equations in two vaiables. Solve the equations using either elimination or substitution. State your answer for the specified variable.
Andy has 14 coins made up of quarters and half-dollars, and their total value is $4.25. How many quarters does he have?
Click here to see answer by richwmiller(9135)

Question 247789: The formula s = 16t2 is used to approximate the distance s, in feet, that an object falls freely (from rest) in t seconds. Use this formula to solve the problem. (Round answer to the nearest tenth.)
A branch of a tree hangs 575 ft above the soil. If a twig breaks off, how long will it take it, falling freely, to reach the soil
Click here to see answer by solver91311(16884)

Question 247827: Solve the equation using the quadratic formula.
4x^2 - 23x - 6 = 0
Click here to see answer by solver91311(16884)

Question 247824: Use the quadratic formula to solve the euation. If the equation has no real number solutions, so state.
3x^2 + x - 3 = 0
Click here to see answer by Alan3354(30993)

Question 247828: Solve the equation using the quadratic formula.
2x^2 = 30
Click here to see answer by solver91311(16884)

Question 247825: Use the quadratic formula to solve the equation. If the equation has no real number solutions, so state.
x^2 + 7x + 2 = 0
Click here to see answer by richwmiller(9135)

Question 247840: Can you help solve this problem, I know that I'm missing something here....
f(x) = 1x^2 - 6x + 2
I just need the steps for the -6 when calculating the vertex - b/2a is confusing me.

Click here to see answer by stanbon(57337)

Question 247798: Use the quadratic formula to determine the x-intercepts (if any) of the following function. Then evaluate the function for several values of x, and use the resulting points to graph the function.
f(x)=-x^2+1
Click here to see answer by Fombitz(13828)

Question 247757: f(x)=7x squared what is the vertex and line symmetry
Click here to see answer by Alan3354(30993)

Question 247808: Hello,
Can someone help me with these problems.

1. Solve using the quadratic formula

2. Use the discriminant to determine whether the following equations have solutions that are; two different rational solutions, two different irrational solutions, exactly one rational solution, or two different imaginary solutions

3. Use quadratic formula to determine the x intercepts (if any) of the following function. Then evaluate the function for several values of x and use the resulting points to graph the function.

Thank you so much, I think you all are great people for help people like me who have been out of school for so long.
Tam

Click here to see answer by checkley77(12569)

Question 247939: Hi! So I'm having trouble solving an quaratic equation. It has to do with fining initial velocity from the starting point. The qestion is, While on vacation, Ben dropped his glasses over the edge of the Grand Canyon. If he was 384 feet up when the glasses fell, how long till till the glasses hit the river below? The eqation to set it up is Can you please help!?
Click here to see answer by stanbon(57337)

Question 247946: how to apply quadratic equation in daily life?
can you give me five(5)problem with a solution..
Click here to see answer by richwmiller(9135)

Question 247930: How can this be solved by FACTORING. We have not yet gotten to the actual quadratic formula yet.
The equation is this: 25x^2=5x-1
Rearrange the formula to get: 25x^2+5x-1=0 but that is as far as I can get. I can't seem to be able to factor anything out of this. Thank you!
Click here to see answer by scott8148(6628)

Question 247950: Find the line of symmerty. (1/2 is a fraction)
(x)=8(x+1/2)^2+17

Click here to see answer by stanbon(57337)

Question 247972: Use the quadratic formula to solve the euation. If the equation has no real number solutions, so state.
3x^2 + x - 3 = 0
Click here to see answer by solver91311(16884)

Question 248067: using the quadratic formula, what is the length and width of a rectangle if the length is 3 inches longer than twice the width and the area of the rectangle is 5 in^2?
Click here to see answer by oberobic(2304)

Question 248077: Factor the equation 2x2+7x+6
Click here to see answer by jim_thompson5910(28595)

Question 248052: 8x(6x+7)=-3
Click here to see answer by jim_thompson5910(28595)

Question 248126: i need a little help to make sure i am doing this right.
Solve: 2x-5=(the square root of) x+20
this is what i have:
(2x-5)^2=x+20
4x^2-10x-10x+25=x+20
4x^2-20x+25=x+20
4x^2-21x+5=0
(4x-1)(x-5)=0
4x-1=0 or x-5=0
x=1/4 or x=5
but the question on my review has multiple choice answers of:
a) 1/4 b)16 c) 29 or d) 5
which is the right answer or am i correct in thinking that there are 2 possible answers?
Click here to see answer by jim_thompson5910(28595)

Question 248159: given a quadratic equation in standard form y=ax^2+bx+c, explain what the coefficient of x^2 tells you
Click here to see answer by Fombitz(13828)

Question 248233: Can you please help me solve; x^2+√22x=0
Click here to see answer by stanbon(57337)

Question 248228: Solve by applying the Quadratic Formula. Show your work.thanks
p^2 + 3p - 9 = 0
Click here to see answer by richwmiller(9135)

Question 248249: Use the quadratic formula to solve the equation. If the equation has no real number solutions, so state.
3x^2 + x - 3 = 0
Click here to see answer by richwmiller(9135)

Question 248262: Can you please help with these word problems I am terrible at word problems. I listed the problems below along with what I could figure out. Thanks in advance.
Solving Quadratic Equations by Factoring
1. Address book. The perimeter of the cover of an address book
is 14 inches, and the diagonal measures 5 inches. What are
the length and width of the cover?
x^2+14=5^2
x^2+x^2+14=25
2x^2+14=25
-14=-14
2x^2=11 don't know if this is right thus far and where to go from here.

2. Throwing a wrench. An angry construction worker throws
his wrench downward from a height of 128 feet with an
initial velocity of 32 feet per second. The height of the
wrench above the ground after t seconds is given
by S(t)-16t^2-32t+128.
-16(t+4)(t-2)is what I have so far!!
a) What is the height of the wrench after 1 second?
b) How long does it take for the wrench to reach the
ground?

Click here to see answer by stanbon(57337)

Question 248250: Use the quadratic formula to solve the equation. If the equation has no real number solutions, so state. x^2 + 7x + 2 = 0
Click here to see answer by jim_thompson5910(28595)

Question 248215: Solve the equation using the quadratic formula.
4x^2 - 23x - 6 = 0
Click here to see answer by jim_thompson5910(28595)

Question 248210: Use the quadratic formula to solve the euation. If the equation has no real number solutions, so state.
3x^2 + x - 3 = 0
Click here to see answer by jim_thompson5910(28595)

Question 248362: How do you figure out
x + 2/15 = 2/9 ????
Click here to see answer by checkley77(12569)

Question 248438: Hi!
I am completely stuck (doing homework) and could use a hand, please!
Problem:
3x^3-5x^2-15 for x=3
I came up with:
3(3)^3-5(3)^2-15
3x27-5x9-15
81-45-15
solution = 21
Am I close?
Thank you!!
Click here to see answer by jim_thompson5910(28595)

Question 248439: Hi again! This homework assignment is a bear!
This problem has me lost:
7x - 3y = 4
Thank you so very much!!
Click here to see answer by checkley77(12569)

Question 248472: Solve the quadratic equation for x by the square root:
(x-t)squared = 2
Click here to see answer by richwmiller(9135)

Question 248471: Solve the quadratic equation for x by the square root:
x squared + 8 = 3
Click here to see answer by College Student(505)

Question 248476: Solve proportional equation
x= 7y + 2
_______
y-3
Solve for y
Click here to see answer by dabanfield(803)

Question 248100: A rectangular lawn measuring 8m by 4m is surrounded by a flower bed of uniform width. The combined area of the lawn and the flower bed is 165m^2. What is the width of the flower bed?
Click here to see answer by ankor@dixie-net.com(15650)

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