Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 822176: [ solve the quadratic 2x^2 - 9x - 11 = 0 ]
Click here to see answer by TimothyLamb(4379)

Question 822175: [ solve the quadratic 3p^2 + 10p - 48 = 0 ]
Click here to see answer by TimothyLamb(4379)

Question 822414: 2x^2-13x-24=0

Click here to see answer by TimothyLamb(4379)

Question 822695: state the value of the discriminant for each equation. Then determine the number of real roots of the equation. 3b^2+10=-8b
Click here to see answer by ewatrrr(24785)

Question 822696: State the value of the discriminant for each equation. Then determine the number of real roots of the equation. 9a^2=6a-1
Click here to see answer by ewatrrr(24785)

Question 822979: The larger of two numbers is 5 more than twice the smaller. If the smaller is subtracted from the larger, the result is 12. Find the numbers using elimination method.
Click here to see answer by faceoff57(108)

Question 823037: 5x^2-6x-h=0
Please help!
Click here to see answer by rothauserc(4718)

Question 823000: With just the equation y=ax^2+bx+c and a parabola without any points, how do I determine if "b" is positive or negative?
Click here to see answer by tommyt3rd(5050)

Question 823135: How do you turn the equation h=-5t^2+20t+105 into vertex form? Thank you
Click here to see answer by ewatrrr(24785)

Question 823195: Please help me solve the following question:
6(5g + 2) = 30g
I came up with g=12, but I think that's the wrong answer.
Thank you very much!
Click here to see answer by richwmiller(17219)

Question 823194: Please help me solve:
9h - 7 = 23 + 4h
Thank you very much!
Click here to see answer by jim_thompson5910(35256)

Question 823257: Factor the polynomial
12x-9

Click here to see answer by Alan3354(69443)

Question 823476: what does A represent in a quadratic equation
Click here to see answer by stanbon(75887)

Question 823006: The area of a triangular lot is 49 square yards. The base of the lot is 7 yards less then its height. Find the length of the base and height.
Click here to see answer by jsmallt9(3758)

Question 823512: the perimeter of a rectangle is 50 yards. What are the dimensions that will produce a maximum area of such a rectangle

Click here to see answer by math-vortex(648)

Question 823749: ethan needs to determine the number and type of roots for the equation using the discriminant. his solution is shown.explain what ethan did correctly and what he did incorrectly and then correct mistakes.
1. b^2-4ac=-5^2-4(1)(10)=-25-40=-65
2. since -65<0, there are 2 non real solutions.
Click here to see answer by stanbon(75887)

Question 823784: One-half the square of a number is equal to 16 more than twice the number. what is the number?
Click here to see answer by TimothyLamb(4379)

Question 823758: Evaluate A = . Then WITHOUT doing any
further calculation write down the value of B = .
Click here to see answer by Alan3354(69443)

Question 823760: Evaluate A = (a^2 − 3a +1)^2 − (1− a)(−2a +1)(1− 3a) . Then WITHOUT doing any
further calculation write down the value of B = (a^2 + 3a +1)^2 − (1+ a)(2a +1)(1+ 3a) .
Click here to see answer by richwmiller(17219)

Question 823745: A rectangle has one vertex in quadrant I on the graph of y=10-x^2, another at the origin, one on the positive x-axis, and one on the positive y-axis.
a.) Express the area A of the rectangle as a function of x.
b.) Find the largest area A that can be enclosed by the rectangle?
Click here to see answer by TimothyLamb(4379)

Question 823753: A. ethan needs to determine the number and type of roots for the equation using the discriminant. his solution is shown. explain what ethan did correctly and what he did incorrectly and then correct his mistakes
1 b^2-4ac=-5^2-4(1)(10)=-25-40=-65
2 since -65<0 there are 2 non real solution
B. ethan decides to complete the square to rewrite the quadratic in vertex form and find the solutions to the equation when y=0. his solution is shown.identify what ethan did incorrectly and then explain what he should have done instead.(note: identify each error once)
1. y-10=x^2-5x+10-10-->y-10=x^2-5x
2. -5^2=-25
3.y-10-25=x^2-5x-25
4. y-35=(x-5)^2
5. y=(x-5)^2-35
6. 0=(x-5)^2-35
7. (x-5)^2=35
8.x-5=35/2 or x-5=-35/2
9. x=35/2+10/2 or x=-35/2+10/2
10. x=45/2 or x=-25/2

c. explain whether ethane solutions match his answer to part A

Click here to see answer by richwmiller(17219)

Question 823930: Alex has 1400 ft of irrigation pipping. He wants to use it to irrigate his back lawn. He wants to lay the pipping in such a manner as to cut off 3 equal size rectangle regions in the yard. What are the dimensions that would produce the maximum enclosed area.
Click here to see answer by TimothyLamb(4379)

Question 824307: Together, John and mark can finish painting a house in 10 hours. Alone, John takes 4 hours longer than Mark to finish painting the same house. How long does Mark take to finish painting the house by himself? Give your answer correct to 2 decimal place.
Click here to see answer by stanbon(75887)

Question 824374: 2 taps (one large and one small) fill a tank together in total of 48 minutes.
difference between time taken to fill the tank by small tap (only) and large tap(only) but (separately) is 40 minutes.
find the time taken by each tap separately

Click here to see answer by mananth(16946)

Question 824417: 8x^2+33x+4
Click here to see answer by Alan3354(69443)

Question 824418: Solve the problem.
The manufacturer of a CD player has found that the revenue R (in dollars) is
R(p)=-5p(squared)+1330p when the unit price is p dollars. If the manufacturer sets the price p to maximize revenue, what is the maximum revenue to the nearest whole dollar?
Click here to see answer by stanbon(75887)

Question 824456: Express 9x^2-42x+49 in the form (ax+b)^2 where a and b are constants. Thanks
Click here to see answer by tommyt3rd(5050)

Question 824460: what must be added to 7x^2-10x to make a perfect square. Thanks
Click here to see answer by richwmiller(17219)

Question 824460: what must be added to 7x^2-10x to make a perfect square. Thanks
Click here to see answer by jsmallt9(3758)

Question 824819: 5x-3y-3.8=0 slove it.,, plz slove by the formula (-b � √(b2 - 4ac)) / 2a.
Click here to see answer by josgarithmetic(39613)

Question 824771: Please help me solve this: Why does the "c" parameter in standard form, f(x) = ax^2 + bx + c, not equal the "k" parameter in vertex form, y= a (x-h)^2+k?
Please provide a mathematical argument based on algebraic work.
Click here to see answer by Edwin McCravy(20054)

Question 824770: Please help me solve this equation: If f(x) = ax^2 +bx + c find f(-b/2a)?

Click here to see answer by josgarithmetic(39613)

Question 824957: Plot the function g(x)= -x^2+x+6
Click here to see answer by Edwin McCravy(20054)

Question 824939: what does the graph look like for equation g(x)=-x^2+x+6?
Click here to see answer by Edwin McCravy(20054)

Question 825270: Find the quadratic equation with integral coefficients whose roots are -7/2 and 2/3.
Click here to see answer by josgarithmetic(39613)

Question 825285: an airplane makes a 990 km flight with a tailwind and returns, flying into the same wind. The total flying time is 3 hours 20 minutes, and the airplane's speed in still air is 600 km/h. What is the speed of the wind?
Click here to see answer by stanbon(75887)

Question 825286: Glenn cuts half a rectangular lawn, 40 m by 30 m, by mowing strips of equal width around the perimeter. Brad cuts the small rectangle left. How wide a strip does Glenn cut so that they share the work equally?
Click here to see answer by josgarithmetic(39613)

Question 825416: How would i put x^2+4x+8=5x+18 in the standard ax^2+bx+c=0 form
Click here to see answer by TimothyLamb(4379)

Question 825431: How would you put the equation (2x+1)^2-2x=4 in the standard ax^2+bx+c=0 form
Click here to see answer by stanbon(75887)

Question 825443: how would you put 4x^2+5x=(3x-1)^2-3x^2 in the standard ax^2+bx+c=0 form
Click here to see answer by TimothyLamb(4379)

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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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