Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 164739: Solve the quadratic formula:
x^2 + 6x + 13 = 0
Click here to see answer by checkley77(12844)

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(1513)

Question 164762: sqrt(26t+10)-5sqrt(t)=1
Click here to see answer by Alan3354(69443)

Question 164762: sqrt(26t+10)-5sqrt(t)=1
Click here to see answer by ankor@dixie-net.com(22740)

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(69443)

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(35256)

Question 164992: I need to find the vertex for this problem
f(x)= -3x^+x-5
Click here to see answer by jim_thompson5910(35256)

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(35256)

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(19441)

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(22740)

Question 165013: slove for x in x^2+6x+4=0
Click here to see answer by checkley77(12844)

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(35256)

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(8007)

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(19441)

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(1513)

Question 165304: given f(x)= find all zeros (real and imaginary)
Click here to see answer by jim_thompson5910(35256)

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(75887)

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(22740)

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(22740)

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(32388)

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(75887)

Question 165720: 6x^2-x-5 solve for x
Click here to see answer by jim_thompson5910(35256)

Question 165692: A train normally travels 60 miles at a certain speed. one day,due to bad weather, the train's speed is reduced by 10mph so that the journey takes 3 hours longer. find the normal speed?
Click here to see answer by checkley77(12844)

Question 165753: An NFL kicker attempts a 41-yard field goal. The path of the football toward the uprights can be represented by the graph of the quadratic function f(x)= -.0625x�+2.7x, where x is the horizontal distance the football travels in yards and f(x) is the vertical distance the football travels. The bottom of the upright is 3.5 yards above the ground.
How high will the football reach its highest point? Why?
Click here to see answer by ankor@dixie-net.com(22740)

Question 165868: I am working on this in Applications and I can get to the last step but then I don't know how they get the answer: I have tried to multiply and add, subtract, and divide but I still can't understand the last step...
Here is and ex:
Find a negative real number such that the square of the sum of the number and 16 is equal to 36. (If there are two correct answers, either can be entered.)
I want to know how they get the number 256. this is how it is set up
x +16 squared =36
x squared + 32x+256=36
x squared + 32x = 220=0

I understand the steps except how they get the 256. Can you help me Please?
Click here to see answer by Earlsdon(6294)

Question 165927: the perimeter of a square and a rectangle are equal. The length of the rectangle is 11cm and area of the square is 4cm^2 more than the area of the rectangle.find the side of the square?
Click here to see answer by oscargut(2103)

Question 165928: The numerator of a fraction is 1 less than the denominator.When both numerator and denominator are increased by 2, the fraction is increased by 1/12. find the orignal fraction.
Click here to see answer by oscargut(2103)

Question 165936: The perimeter of one square exceeds that of another by 16 and its area is 44 less than the 4 times the area of the other. What is the length of the side of each square?

Click here to see answer by nerdybill(7384)

Question 165943: Here are 3 equations that I need you to check my answers on:
#1) Solve this equation in qudratic form:
y^4 + 5y^2 - 36 = 0

y^2 + 5y - 36 = 0
(y + 9)(y-4)
y +9 = 0 y-4=9
y = -9 y = 4
y^2 = -9 y^2 = 4
sqr. rt. of y^2 = +/- sqr. rt. of 9 sqr. rt. of y^2 = +/- sqr. rt. of 4
y = =/- 9i y = +/- 2
solutions are 9i, -9i, 2, -2

#2) Solve a radical equation this is reducible to a quadratic equation
sqr. rt. of x-4 + x = 6

sqr. rt. of x-4 = 6-x
(sqr. rt. of x-4)^2 = (6-x)^2
x-4 = (6-x)^2
x-4 = 36 - 6x - 6x = X^2
x-4 = x^2 - 12x + 36
0 = x^2 - 13x + 40
0 = (x-5) (x - 8)
x = 5 x = 8
5 is a solution, 8 is not.

#3) Solve a fractional equation that is reducible to a quadratic equation:
2/y+1 + 1/y-1 = 1
(y+1) (y-1) (2/y+1 + 1/y-1) = 1(y+1)(y-1)
2(y^2-1) (y+1)(y-1) + (y+1)(y-1)
Here I am stuck on this. Please help. Thanks.

Click here to see answer by Fombitz(32388)

Question 165978: I'm sorry if this isnt a quadratic equation...... we havent been doing algebra long so i just picked a random subject.
Here is my question (its from textbook 'Key Maths 9,3 chapter 8 section 2 homework'):
a) copy and complete : (a+b)(a-b)=
b)use the formula to simplify these
1- (s+2t)(s-2t) 2- (f+5g)(f-5g) 3-(p-3q)(p+3q)
Please help ! It said that i should include working out if possible but i dont even know how to start tackling any of this! Our maths teacher just handed us the sheet without explaining any of it
Beth x
Click here to see answer by Mathtut(3670)

Question 166004: I need help factoring this 16tsquared
please show me how to do this
thanks
Click here to see answer by Mathtut(3670)

Question 166115: consider g(x)=x^3+4x; what is the maximum number of zeroes it can have?

consider g(x)=x^3+4x; what is the maximum number of turns it can have?

if f(x) is a parabola, then what type of function is it?

Click here to see answer by stanbon(75887)

Question 166107: The height h (in feet) of an object that is dropped from the height of s feet is given by the formula h = s - 16t 2 , where t is the time the object has been falling. A 6 foot tall woman on a sidewalk looks directly overhead and sees a window washer drop a bottle from the 4 story. How long does she have to get out of the way? Round to the nearest tenth. (A story is 12 feet.) Choose the answer from the following:
2.0 seconds

1.5 seconds

1.6 seconds

1.3 seconds

Please help solve and show how to arrive at answer.

Click here to see answer by Earlsdon(6294)

Question 166121: Use the quadratic formula to prove that the roots of ax�+bx+c=0 must have �b/a as their sum and c/a as their product.
PLEASE HELP ME OUT!!!
Click here to see answer by jim_thompson5910(35256)

Question 166026: I need to solve this problem:
area of a square garden in sq feet is 49x^2-14x+1. Find the dimensions of the garden in terms of x.
Click here to see answer by sata001(4)

Question 166183: Please check my answers for in quadratic formula:
solve: v^2 = 12v - 24
v^2 12v + 24 = 0
v = 12 =/- sqr. rt. of 12^2 - 4(24)/2
= 12 +/- sqr. rt of 144 - 96/2
= 12 sqr. rt of 48/2
= 12 sqr. rt. of 4*4*3/2
= 12 +/- 4 sqr. rt. of 3/2
answer: 6 - 4 sqrt rt. of 3, 6 + 4 sqr. rt. of 3

Click here to see answer by Fombitz(32388)

Question 166189: I need to answer this question using quadratics and I am not sure where to start. Ed needs to enclose a rectangular section of his yard. The area is 35 sq ft and the perimeter is 27 ft. Find the length and the width of the section.
Click here to see answer by vleith(2983)

Question 166253: An NFL kicker attempts a 41-yard field goal. The path of the football toward the uprights can be represented by the graph of the quadratic function f(x)= -.0625x�+2.7x, where x is the horizontal distance the football travels in yards and f(x) is the vertical distance the football travels. The bottom of the uprights is 3.5 yards above the ground.
The opposing team tries to block the kick by jumping with their arms and hands up in the air. If their highest reach is 3.5 yards and they are 2 yards away, will they block the kick? Why or Why not?
Click here to see answer by stanbon(75887)

Question 166323: How do I factor:
8x-30x+7=0
Click here to see answer by Fombitz(32388)

Question 166325: I am very interested in how one would derive a quadratic equation from a physical parabola. I have one that measures 3.5" from vertex to "mouth" and 4.5" across the "mouth." I plotted it on a graph with a y intercept of 3.5 and x intercepts of 2.25, -2.25. I played with your quadratic solver and a graphing calculator and the closest I was able to come to was . How could I solve this without using the aforementioned tools?
Thank you
Click here to see answer by Fombitz(32388)

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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