Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 163991: Find all real or imaginary solutions to the following equation, b^4+13b^2+36=0
Click here to see answer by stanbon(57967)

Question 164039: How do I solve the following by factoring?:
3x^2 - 6x = 0
Click here to see answer by orca(409)

Question 164041: How do I solve the following using the quadratic formula?
2x^2 - 3x - 2 = 0
Click here to see answer by nerdybill(7003)

Question 164040: If f(x) = 2x^2 - 7x + 3 find: f(2) and f(-3)
Click here to see answer by oscargut(900)

Question 164051: I have a graph that has an x-axis of (0.67, 0), an x-axis of (-1, 0) and a y-axis of (0, -2). I am instructed to look at the graph and comment on the sign of the discriminant. Form the quadratic equation based on teh information provided and find its solution. The graph lines point down and open up. Please help. Your help is extremely valuable and I really appreciate your time and attention. I know that the quadratic formula is ax^2+bx+c where a does not equal 0 is the equation formula but I don't know which numbers to use as a, b, and c.
Click here to see answer by stanbon(57967)

Question 164077: Please help me understand what this problem is asking and how do I determine what equation to use when solving? Are there any key words that will tell me what equation I should use?Thanks for your help?
What three techniques can be used to solve a quadratic equation? Demonstrate these techniques on the equation "12x2 - 10x - 42 = 0".
Click here to see answer by Earlsdon(6294)

Question 164069:
Click here to see answer by Edwin McCravy(8999)

Question 164164: The number of tickets sold each day for an upcoming performance of Handel's Messiah is given by N(x)=-0.4x^2+8x+12, where x is the number of days since the concert was first announced. When will daily ticket sales peak and how many tickets will be sold that day?
Click here to see answer by alicealc(281)

Question 164181: 1. Suppose you are an event coordinator for a large performance theater. One of the hottest new Broadway musicals has started to tour, and your city is the first stop on the tour. You need to supply information about projected ticket sales to the box office manager. The box office manager uses this information to anticipate staffing needs until the tickets sell out. You provide the manager with a quadratic equation that models the expected number of ticket sales for each day x. ( is the day tickets go on sale).

a. Does the graph of this equation open up or down? How did you determine this?

b. Describe what happens to the tickets sales as time passes?
c. Use the quadratic equation to determine the last day that tickets will be sold. (Note: Write your answer in terms of the number of days after ticket sales begin.)

d. Will tickets peak or be at a low during the middle of the sale? How do you know?

e. After how many days will the peak or low occur?

f. How many tickets will be sold on the day when the peak or low occurs?

g. What is the point of the vertex? How does this number relate to your answers in parts e and f?

h. How many solutions are there to the equation ? How do you know?

i. What do the solutions represent? Is there a solution that does not make sense? If so, in what ways does the solution not make sense?

Click here to see answer by stanbon(57967)

Question 164238: Solve
Note 2x+1 is under the radical sign and the +3 is not
Click here to see answer by aka042(26)

Question 164239: x^2-7x-8=0
Click here to see answer by Fombitz(13828)

Question 164237: Solve: Y+10=y(y+3)
Click here to see answer by Fombitz(13828)

Question 164297: If you know the coordinates of 2 points what is the equation for the line between the 2 points?
Click here to see answer by algebrapro18(206)

Question 164331: (x+1)^3
Click here to see answer by checkley77(12569)

Question 164449: A RECTANGLE HAS DIMENSIONS OF 18 FEET BY 13 FEET. A GRAVEL PATH OF UNIFORM WIDTH IS TO BE BUILT AROUND THE GARDEN. HOW WIDE CAN THE PATH BE IF THERE IS ENOUGH GRAVEL FOR 516 SQUARE FEET?
(I DON'T KNOW HOW TO SET THIS UP AS A QUADRATIC EQUATION.)
Click here to see answer by vleith(2825)

Question 164317: 9s²+12²+4
Click here to see answer by Fombitz(13828)

Question 164532: I am having trouble getting started on these problems. Can someone please help?
Thank you in advance. Also, I may be making this too hard. Should I be factoring before I try to solve?
1. Determine whether the following equations have a solution or not? Justify your answer.
a) x2 + 6x - 7 = 0
b) z2 + z + 1 = 0
c) (3)1/2y2 - 4y - 7(3)1/2 = 0
d) 2x2 - 10x + 25 = 0
e) 2x2 - 6x + 5 = 0
f) s2 - 4s + 4 = 0
g) 5/6x2 - 7x - 6/5 = 0
h) 7a2 + 8a + 2 = 0
2. If x = 1 and x = -8, then form a quadratic equation.

Click here to see answer by jim_thompson5910(28715)

Question 164609: Can someone help me with this. I had 6 problems to solve and I am having trouble solving these three. Thank you for all that you do!
1. Determine whether the following equations have a solution or not? Justify your answer.
f)s2 - 4s + 4 = 0

g)5/6x2 - 7x - 6/5 = 0

h)7a2 + 8a + 2 = 0

Click here to see answer by stanbon(57967)

Question 164591: Write three quadratic equations, with a, b, and c (coefficients of x^2, x, and the constant) as:
Integers
Rational numbers
Irrational numbers

Click here to see answer by MRperkins(300)

Question 164691: a rectangular building is 25m long and 15m wide. a path of constant width is laid around the whole building. if the area of the path is 90m2.calculate the with of the path to the nearest mm.
Click here to see answer by checkley77(12569)

Question 164739: Solve the quadratic formula:
x^2 + 6x + 13 = 0
Click here to see answer by checkley77(12569)

Question 164748: One side of a rectangle is 2 meters longer then the other. one side is x and the other is x + 2 the diagonal is 10 meters what are the lengths of the sides
Click here to see answer by jojo14344(1512)

Question 164762: sqrt(26t+10)-5sqrt(t)=1
Click here to see answer by Alan3354(31519)

Question 164762: sqrt(26t+10)-5sqrt(t)=1
Click here to see answer by ankor@dixie-net.com(15746)

Question 162827: how would you graph
x+5=10
3x+4y<12
x+2y=4
y>-3, x>6
y=8/3+4
Click here to see answer by Alan3354(31519)

Question 164866: Graph each linear equation by finding and plotting its intercept points.
x-y=3
x-y=-4
x=5y
2x=y
Click here to see answer by MRperkins(300)

Question 164990: 9000/p = 4p-20
Click here to see answer by jim_thompson5910(28715)

Question 164992: I need to find the vertex for this problem
f(x)= -3x^+x-5
Click here to see answer by jim_thompson5910(28715)

Question 164994: 1.) Determine whether the following equations have a solution or not? Justify your answer.
x^ + 6x - 7 = 0
z^ + z + 1 = 0
(3)1/2y^ - 4y - 7(3)1/2 = 0
2x^ - 10x + 25 = 0
2x^ - 6x + 5 = 0
s^ - 4s + 4 = 0
5/6x^ - 7x - 6/5 = 0
7a^ + 8a + 2 = 0
2.) What type of solution do you get for quadratic equations where D <0? Give reasons for your answer. Also provide an example of such a quadratic equation and find the solution of the equation.
Click here to see answer by jim_thompson5910(28715)

Question 164989: rectangular pool is 3 times as long as wide,surrounded by deck 2.5m wide. find dimension of pool if area deck is 265m
Click here to see answer by josmiceli(9817)

Question 165018: Please help.I need to know if I did this right?Thank you!
2.If x = 1 and x = -8, then form a quadratic equation.
(x-1)(x-(-8))=0
(x-1)=0
(x-(-8))=0
x-1=0
x=-1
(x-(-8)=0
(x+8)=0
x+0
x=-8
x=-8,-1

Click here to see answer by MRperkins(300)

Question 165015: Please help me set up these equations and solve. Thank you in advance.
4. A cell divides into two identical copies every 4 minutes. How many cells will exist after 3 hours?
5. The level of thorium in a sample decreases by a factor of one-half every 4.2 million years. A meteorite is discovered to have only 7.6% of its original thorium remaining. How old is the meteorite?

Click here to see answer by ankor@dixie-net.com(15746)

Question 165013: slove for x in x^2+6x+4=0
Click here to see answer by checkley77(12569)

Question 165084: 96.) Find all real or imaginary solutions. use the method of your choice.
sqrt(7x+29)=x+3

Click here to see answer by jim_thompson5910(28715)

Question 165017: I need help with this problem also. Let me know if I am on the right track.
Thank you in advance. i can get started but I can't finish and we must show our work. I know the answer but I can't explain to my professor how I got there?We must type our work in this online class. Is there software i can get to use the real math symbols?

x^2 - 4x + 5=0
a=1 b=-4 c=5

3.What type of solution do you get for quadratic equations where D < 0? Give reasons for your answer. Also provide an example of such a quadratic equation and find the solution of the equation.

Click here to see answer by edjones(7569)

Question 165264: 2. A business invests $10,000 in a savings account for two years. At the beginning of the second year, an additional $3500 is invested. At the end of the second year, the account balance is $15,569.75. What was the annual interest rate?
Click here to see answer by josmiceli(9817)

Question 165263: 3. Create a real-life situation that fits into the equation (x + 4)(x - 7) = 0 and express the situation as the same equation.

Click here to see answer by jojo14344(1512)

Question 165304: given f(x)= find all zeros (real and imaginary)
Click here to see answer by jim_thompson5910(28715)

Question 165433: 2. True or false: The function "f(x) = 3x" grows three times faster than the function "g(x) = x". Explain
Click here to see answer by stanbon(57967)

Question 165553: when one edge of a cube decreased by 1cm, its volume is decreased by 91cm. find the length of a side of the orignal cube.
Click here to see answer by scott8148(6628)

Question 165553: when one edge of a cube decreased by 1cm, its volume is decreased by 91cm. find the length of a side of the orignal cube.
Click here to see answer by ankor@dixie-net.com(15746)

Question 165552: An increase of speed of 4km/h on a journey of 32km reduces the time taken by 4 hours. find the orginal speed?
Click here to see answer by ankor@dixie-net.com(15746)

Question 165538: how do i factor a quadratic equation and apply the zero product rule to find the solution set?
Click here to see answer by Fombitz(13828)

Question 165596: Please write the equation of a quadratic that has zeros of 5 and 1 with f(0)=1.
Please help me, I have no idea what to do!!!
Click here to see answer by Earlsdon(6294)

Question 165635: I have to factor this quadric expression. it gives me that expression and then i have to fill in 4 boxes with the 4 numbers. Please help. Thank you
Click here to see answer by stanbon(57967)

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065, 16066..16110, 16111..16155, 16156..16200, 16201..16245, 16246..16290, 16291..16335, 16336..16380, 16381..16425, 16426..16470, 16471..16515, 16516..16560, 16561..16605, 16606..16650, 16651..16695, 16696..16740, 16741..16785, 16786..16830, 16831..16875, 16876..16920, 16921..16965, 16966..17010, 17011..17055, 17056..17100, 17101..17145, 17146..17190, 17191..17235, 17236..17280, 17281..17325, 17326..17370, 17371..17415, 17416..17460, 17461..17505, 17506..17550, 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