Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 231646: how do you solve the equation: x² + 24 = 14x
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Question 231646: how do you solve the equation: x² + 24 = 14x
Click here to see answer by jsmallt9(3758) About Me 

Question 231652: how would you put an equation that is like y=ax+bx+c into the format y=a(x-h)²+k?
Click here to see answer by rfer(16322) About Me 
Question 231652: how would you put an equation that is like y=ax+bx+c into the format y=a(x-h)²+k?
Click here to see answer by solver91311(24713) About Me 

Question 231745: Please someone help me with these. I am not sure I am doing them right.
Solve:
1. y square = 49
The square root of 49 is _7 and + 7
y = -7 and + 7
2. (z + 3) squared = 36
z squared + 9 = 36
z squared= 36-9=27= (3x3x3)
=============================
~~~~~~~I can't go on....please help me
3. x squared + 18x - 17 = 0
x^2+18x-17=0
delta= (18)^2-4(1)(17)=256
square root of delta will be:16
therefore we will have two solutions
x= (-19-16)/2 = -35/2
y= (-19+16)/2= -3/2
Thank you very much. Carrie

Click here to see answer by stanbon(75887) About Me 
Question 231745: Please someone help me with these. I am not sure I am doing them right.
Solve:
1. y square = 49
The square root of 49 is _7 and + 7
y = -7 and + 7
2. (z + 3) squared = 36
z squared + 9 = 36
z squared= 36-9=27= (3x3x3)
=============================
~~~~~~~I can't go on....please help me
3. x squared + 18x - 17 = 0
x^2+18x-17=0
delta= (18)^2-4(1)(17)=256
square root of delta will be:16
therefore we will have two solutions
x= (-19-16)/2 = -35/2
y= (-19+16)/2= -3/2
Thank you very much. Carrie

Click here to see answer by curioustoknow(5) About Me 

Question 231769: Salley and Bob are eloping but Salley is locked in her 3rd floor bedroom. Their only hope of a wedding is that Salley lets down her 3 story long hair and in the hope the weave holds as he climbs up. Or bob can throw her a rope and let her climb down. They attempt teh rope first. The window is 28ft up and Bob releases the rope with an initial velocity of 30ft/s. the release point is 5 feet above the ground. Will the rope reach the window? Explain using the discriminant. h=-16t squared + v subzero t + s
Click here to see answer by Alan3354(69443) About Me 

Question 231943: the sum of two numbers is 27 and their product is 152, find the numbers
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Question 231943: the sum of two numbers is 27 and their product is 152, find the numbers
Click here to see answer by checkley77(12844) About Me 

Question 231945: The sum of the squares of three consecutive integers is 302, find the numbers
Click here to see answer by Alan3354(69443) About Me 

Question 231942: The length of a rectangular land is 12m longer than the width. If the area is 864m2, find it's width.
Click here to see answer by checkley77(12844) About Me 

Question 231946: Find two consecutive integers, such that the sum of their squares is 321
Click here to see answer by Alan3354(69443) About Me 

Question 232012: Use the quadratic formula to determine the exact solutions of each quadratic equation:
-5m^2 = -6

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 232014: Use the quadratic formula to determine the exacty solutions of each quadratic equation. Then approximate each solution to the nearest hundredth.
y^2 - 5 = 0

5w^2 = 2w + 1

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 232060: 30x^2-7x-2 BY FACTORING VERY CONFUSING
Click here to see answer by stanbon(75887) About Me 

Question 232065: 15x^-13x-6 solving quadratic equations by factoring
Click here to see answer by Robb(9) About Me 

Question 232062: Complete the square. Then write the trinomial square in factored form.
x^2 + 5/2x

Click here to see answer by checkley77(12844) About Me 

Question 232134: 9/x- 2= 5/x^2
Click here to see answer by solver91311(24713) About Me 

Question 232088: what is the solution to the problem 3 -3(x-2)
Click here to see answer by checkley77(12844) About Me 

Question 232178: a kite is flying on 50ft string. its vertical distance from the ground is 10 ft more than its horizontal distance from the person flying it. assuming that the string is being held at ground level. find its horizontal distance from the person and its vertical distance from the ground.
Click here to see answer by Alan3354(69443) About Me 

Question 232009: Use extraction of roots to determine the exact solutions of each quadratic equation:
(2x-1)^2 = 9

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 232290: Story problem:
A tennis ball is hit upward with a velocity of 48 feet per second. Ignoring the height of the tennis player, how long does it take for the ball to fall to the ground?
Formula:
h(t)= v0t-16t^2
h(t) is height of an object (feet)
v0 is object's initial velocity (feet per second)
t is time (seconds)
so far i have 3 seconds but that is just one of the roots of the quadratic, not time.
??????
Thanks.

Click here to see answer by stanbon(75887) About Me 

Question 232370: Please help me solve the quadratic equation by factoring:
6y^2 - 54 = 0

Click here to see answer by jsmallt9(3758) About Me 

Question 232437: big bertha a canon used in could fire shots incredibley long distances. The path of a shell could be modeled by y=-0.0196x(squared) plus 1.137x where x was the horizontal distance traveled(in miles) and why was the height(in miles).How far could Big Bertha fire a shell? what was the shells maximum height?

Click here to see answer by Stitch(470) About Me 

Question 232492: Help me figure this out...The product of two consecutive negative integers is 462. Determine the two integers. How do I set it up and how do I solve it?
Click here to see answer by jsmallt9(3758) About Me 
Question 232492: Help me figure this out...The product of two consecutive negative integers is 462. Determine the two integers. How do I set it up and how do I solve it?
Click here to see answer by Alan3354(69443) About Me 

Question 232490: help me factor completely: 3a^3b^3-6a^2b^2-3ab
Click here to see answer by jsmallt9(3758) About Me 

Question 232489: help me solve 3x^2-12x=63
Click here to see answer by jsmallt9(3758) About Me 

Question 232506: (P+8)^2=13
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Question 232454: I need help trying to solve f(x)=x³ that little number is a 3..I have many problems like this but just need step by step to know how to complete my problems.
Click here to see answer by Alan3354(69443) About Me 

Question 232547: Sue rowed her boat across lake bend and back in 3hrs. If her rate returning was 2 mph less than the rate going, and if the distance each way was 7 miles, find her rate going.
Click here to see answer by stanbon(75887) About Me 

Question 232601: I am supposed to solve the formula for the given letter.
a^2 + 1^2 =c^2
Is the answer c^2 -1^2?

Click here to see answer by solver91311(24713) About Me 

Question 232614: Solve using the Quadratic Formula.
(7/8)x^2 - (3/4)x + (5/16) = 0

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Question 232608: I am supposed to determine the nature of the solutions of the equation. Determine whther there is one real solution, two real solutions, or two non real solutions.
x^2 - 3x +8 =0
There is two real solutions?

Click here to see answer by jsmallt9(3758) About Me 

Question 232486: I need help trying to figure out how to factor (using the factoring by pairs technique): x^5+x^2-4x^3-4
Click here to see answer by jsmallt9(3758) About Me 

Question 232351: solve x using quadratic formula:
p2x2+(p2-q2)x-q2=0

Click here to see answer by jsmallt9(3758) About Me 

Question 232681: What algabraic equation would have the answers of
x=i and x=-i
and how did you figure it out?

Click here to see answer by Alan3354(69443) About Me 

Question 232742: find the discriminant of the quadratic equation.
2x^2+4x-4=0

Click here to see answer by edjones(8007) About Me 

Question 232780: f(x)= 7x^2+28x+28
i think i solved it this far.
f(x)=7(x^2+4x)+28
f(x)=7(x^2+4x+4-4)+ 7(-4)+28
f(x)=7(x^2+4x+4)+0
f(x)=7(x^2+4x)=
f(x)=7(x+2)^2
vertix is (-2,0)
so if i graph it x= -2 and y = 0
i have to use more points i tried
x= -1 y=7
x= -3 y= 7
x= -1.5 y= 1.75
i need to know if im rite and what other point i can use

Click here to see answer by jsmallt9(3758) About Me 

Question 232807: I am supposed to give exact solutions and approximate solutions to three decimal places:
x^2 + 5x - 3 = 0
Can you please help me on this one, I am lost.

Click here to see answer by Alan3354(69443) About Me 

Question 232806: I am supposed to solve this:
3x^2 - 7x - 13=0
What are the solutions?

I think the answer is there are no solutions,because 7x and 13 are negative. Am I right?

Click here to see answer by Alan3354(69443) About Me 

Question 232777: how to write a quadratic equation with a solution of 5.
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 233065: Write a quadratic equation in standard form with the following roots:
1/3,2

Click here to see answer by Alan3354(69443) About Me 

Question 233098: solve.
f(x) = (x+3)^2 find x so that f(x) = 10

Click here to see answer by stanbon(75887) About Me 

Question 233100: 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 + 8z^2= -7z

Click here to see answer by stanbon(75887) About Me 

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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23941..23985, 23986..24030, 24031..24075, 24076..24120, 24121..24165, 24166..24210, 24211..24255, 24256..24300, 24301..24345, 24346..24390, 24391..24435, 24436..24480, 24481..24525, 24526..24570, 24571..24615, 24616..24660, 24661..24705, 24706..24750, 24751..24795, 24796..24840, 24841..24885, 24886..24930, 24931..24975, 24976..25020, 25021..25065, 25066..25110, 25111..25155, 25156..25200, 25201..25245, 25246..25290, 25291..25335, 25336..25380, 25381..25425, 25426..25470, 25471..25515, 25516..25560, 25561..25605, 25606..25650, 25651..25695, 25696..25740, 25741..25785, 25786..25830, 25831..25875, 25876..25920, 25921..25965, 25966..26010, 26011..26055, 26056..26100, 26101..26145, 26146..26190, 26191..26235, 26236..26280, 26281..26325, 26326..26370, 26371..26415, 26416..26460, 26461..26505, 26506..26550, 26551..26595, 26596..26640, 26641..26685, 26686..26730, 26731..26775, 26776..26820, 26821..26865, 26866..26910, 26911..26955, 26956..27000, 27001..27045, 27046..27090, 27091..27135, 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