Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 468086: The product of the first and third of three positive consecutive even integers is 150 more than the sum of all three integers.

This is what I tried:
x(x+4)=x+x+1+x+4+150
x^2+x-155 <--I was stuck at this point (Try using the Quadratic formula, didn't work.) Thank you for your help!

Click here to see answer by ewatrrr(10682)

Question 468099: x^2-5x+2=0
Click here to see answer by ewatrrr(10682)

Question 468098: 2x^2-x-3=0
Click here to see answer by ewatrrr(10682)

Question 468067: Identify the vertex and the y-intercept of the graph of each function for y = (x - 125)2 + 125
Click here to see answer by rfer(12657)

Question 468084: A lab designed radio telescope with diaeter of 320 ft & maximum depth of 42 ft Find the equation of the parabola and graph.
Click here to see answer by lwsshak3(6490)

Question 468283: Can someone help me with this please?
Aki's bicycle designs has determined that when x hundred bicycles are built, the average cost per bicycle is given by C(x)=0.2x^2-1.9x+8.394, where C(x) is in hundreds of dollars. How many bicycles should the shop build to maximize the average cost per bicycle?
Click here to see answer by stanbon(57290)

Question 468293: Help!! I do not understand the text or the examples.
Find the vertex, line of symmetry, and the maximum or minimum value of f(x). Graph the function.
f(x)=-4(x+7)^2+8
f(x)=-(x+6)^2-7

Click here to see answer by ewatrrr(10682)

Question 468307: solve by the substitution method.
8x+7y=9
-3x+y=22
Click here to see answer by Gogonati(809)

Question 468248: Solve the inequality for: 8or=8x+37
Click here to see answer by Alan3354(30993)

Question 468337: Find the vertex, the line of symmetry, the maximum or minimum value of the quadratic function and graph the function. Help!, these are the only two I do not understand.
f(x)= -x^2+6x+6
f(x)= 2-x^2
Click here to see answer by ewatrrr(10682)

Question 468323: Determine the graph of the quadratic equation y = x2 + 4x – 1.
Click here to see answer by ewatrrr(10682)

Question 468320: I asked this question earlier and I still do not understand how to get to my answer. I double checked for accuracy with typing out the question and this is the correct way...
Aki's Bicycle Designs has determined that when X hundred bicycles are built, the average cost per bicycle is given by C(X)= 0.2x^2-1.9x+8.394, where C(x) is in hundreds of dollars. How many bicycles should the shop build to maximize the average cost per bicycle?
Click here to see answer by lwsshak3(6490)

Question 468430: I have to complete the square to change the form of the function and grph the quadractic function????
f(x) = -2x^2 -5x +1
Click here to see answer by ankor@dixie-net.com(15646)

Question 468428: I need to determine the domain of the given function
f(x) = 4x divided by x^ -x -12
Click here to see answer by lwsshak3(6490)

Question 468454: Solve.
f(x)=(x+20)(x-15)(x+8)
Click here to see answer by MathLover1(6625)

Question 468503: Multiply.
(s+(1)/(4))(s+(1)/(5))
Is this the correct answer?: s^2+9/20s+1
Anyone please help me. Thank you.
Click here to see answer by jorel1380(2518)

Question 468507: solve x2 - x + 1
I tried by using quadratic formula.
Click here to see answer by jorel1380(2518)

Question 468507: solve x2 - x + 1
I tried by using quadratic formula.
Click here to see answer by algebrahouse.com(1079)

Question 468350: Can someone please help me solve this equation. Thank you.
Solve.
(x+20)(x-15)(x+8)>0

Click here to see answer by bucky(2189)

Question 468702: Solve.
9x^4-18x^2+5=0
Would someone please help me solve this problem. I come up with various answers, and I know that there is only one set of answers. Thank you very much.
Click here to see answer by nerdybill(6958)

Question 468755: Hi! I need help with two problems please? The only thing I am understanding is the minimum and maximum values. I cannot get the figures right.
Find the vertex, the line of symmetry, the maximum or minimum value of the quadratic function and graph the function.
f(x)=-2x^2+2x+4
f(x)= 1-x^2
Click here to see answer by lwsshak3(6490)

Question 468789: Please help me slove this quadratic equation: In two-digit number, the tens digit is 5 less than the ones digit. The number is 14 greater than the product of the digits. Find the number.
Click here to see answer by Tatiana_Stebko(1326)

Question 468776: Two cars started from a junction at sametime. One went straight west and other straight north. The car that went westward travelled 10 km faster per hour than the other. After 1 hour distance between two cars is 15 km. Calculate the distance covered by the car that went northward. Also find the distance covered by car that went southward.
Click here to see answer by lwsshak3(6490)

Question 468929: How to write f (x) = (x – 3)(x – 8) as f (x)= ax^2+bx+c
Click here to see answer by Tatiana_Stebko(1326)

Question 469000: Can someone please help me with these? Please?
Give exact and approximate solutions to three decimal places.
x^2-7x+9=0
x^2+8x+16=49
(x-8)^2=81
Click here to see answer by jorel1380(2518)

Question 469026: I have tried this and cannot get it. Can someone please help me?
A farmer decides to enclose a rectangular garden using the side of the barn as one side of the rectangle. What is the maximum area that the farmer can enclose with 100 ft of fence? What should the dimensions of the garden be to give this area?
Maximum are with 100 ft of fence is ?? sq ft
Dimensions is 50 ft by ?? ft
Click here to see answer by ccs2011(207)

Question 469111: Please help me !!!!!!
I don't understand
Please show work
Simplify
-w + 12w2 – 15w3 + 3(12w + 3w2 – 5w3)
Click here to see answer by Tatiana_Stebko(1326)

Question 469189: Graph y=-3x^2 (label the vertex and the axis of symmetry) and tell whether the parabola opens upward or downward.''.

Click here to see answer by Alan3354(30993)

Question 469175: Solve for x: 5w+4x=7k

Click here to see answer by renee9699(1)

Question 469211: write in simplest form. x^2 - 6x + 8
_________________
x^2 - 16
or x^2 - 6x + 8 divided by x^2 -16
Click here to see answer by ewatrrr(10682)

Question 469210: Solve the quadratic equation. 3x(2x - 15) = -84
Click here to see answer by Tatiana_Stebko(1326)

Question 469275: 3x2-4x-3 the answer is 2+/-squareroot 13 over 3
Click here to see answer by MathLover1(6625)

Question 469064: Help! I asked earlier and I have tried but I do not even understand the question. Can someone please help me understand these two?
Determine the nature of the solutions of the equations.
y^2=1/5y+2/3
x^2-4=0
Is there one real solution, two real solutions, or two non real solutions?
I believe that the first one has 2 real solutions and that the second one has two non real solutions. Did I even come close?
Click here to see answer by ankor@dixie-net.com(15646)

Question 469321: A rectangular garden is 5 ft longer than it is wide. Its area is 6000 ft{}^2. What are its dimensions?
Click here to see answer by jorel1380(2518)

Question 469331: \sqrt{10-x} + x=-2
Click here to see answer by jim_thompson5910(28545)

Question 469317: Can someone please help me solve this equation;
F(x)= 9x^3 - 4x / (x-3)(x^2 - 2x + 1)
Thank you
Click here to see answer by MathLover1(6625)

Question 469374: Which of the following quadratic equations has solutions given by, x=3+-square root9-4(2)(-5)/4
Click here to see answer by robertb(4012)

Question 469570: Write a quadratic equation with the given roots. Write the equation in the form are integers.

Roots: 4,5
Click here to see answer by jorel1380(2518)

Question 469857: Find the vertex, axis of symmetry and maximum and minimum of y = x^2
Click here to see answer by ewatrrr(10682)

Question 469833: 3x+2y=12,for y how do i solve this formula
Click here to see answer by sofiyac(695)

Question 469953: What Are The Solutions For x When y is Equal To 0 ?
y = x^2 - 5x - 36
Click here to see answer by jorel1380(2518)

Question 470144: I need help. I am taking my final exam this weekend and I am doing the practice exam. I need desperately to understand step by step how to do the following equation as I get every example wrong.
a^2+3a-28=0

Click here to see answer by jim_thompson5910(28545)

Question 470225: how to solve quadratic equation?

Click here to see answer by Tatiana_Stebko(1326)

Question 470330: is the following trinomial a perfect square?
x^2-12x+36
Click here to see answer by ewatrrr(10682)

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, 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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, 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