Algebra ->  Algebra  -> Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> Questions on Algebra: Quadratic Equation answered by real tutors!      Log On

 Ad: You enter your algebra equation or inequality - Algebrator solves it step-by-step while providing clear explanations. Free on-line demo . Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help! Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

 Question 90321: Find the x-intercept and y-intercept of the equation 5x-3y=30 Click here to see answer by stanbon(57246)

 Question 90363: A GARDEN AREA IS 30FT LONG AND 20FT WIDE. A PATH OF UNIFORM WIDTH IS SET AROUND THE EDGE. IF THE REMAINING GARDEN AREA IS 400FT^2 WHAT IS THE WIDTH OF THE PATH? Click here to see answer by ankor@dixie-net.com(15638)

 Question 90368: A ball is thrown upward from the roof a building 100 m tall with an initial velocity of 20 m/s - when will the ball reach a height of 80 m? 80 = -16t^2 + 20t + 100 16t^2 -20t -20 = 0 4t^2 - 5t - 5 = 0 t = -(-5) +/- radical (-5)^2 - 4(4)(-5) over 2(4) t = 5 +/- radical 25 + 80 over 8 t = 5 + 10.247 over 8 t = 15.247 over 8 t = 1.906 seconds Please confirm if I'm doing this correctly - thank you. Click here to see answer by jim_thompson5910(28504)

 Question 90333: Find an equation for the line with y-intercept 3 that is perpendicular to the line y=2/3x-4. Click here to see answer by malakumar_kos@yahoo.com(315)

 Question 90332: Find an equation for the line with y-intercept 3 that is perpendicular to the line y=2/3x-4. Click here to see answer by malakumar_kos@yahoo.com(315)

 Question 90292: The length of a rectangle is 1 cm longer than its width. If the diagonal of the rectangle is 4 cm, what are the dimensions (the length and the width) of the rectangle? Thanks for the help! Click here to see answer by vertciel(183)

 Question 90545: 5) a) Calculate the value of the discriminant of x^2+4x+4=0 b) By examining the sign of the discriminant in part a, how many x-intercepts would the graph of y=x^2+4x+4 have? Why? Click here to see answer by jim_thompson5910(28504)

 Question 90550: I have posted this question twice, so if someone could please show some mercy and answer this in a detailed, easy to follow step by step process, I would be so very grateful! Find the axis of symmetry y=x^2+7x+5 Click here to see answer by jim_thompson5910(28504)
 Question 90550: I have posted this question twice, so if someone could please show some mercy and answer this in a detailed, easy to follow step by step process, I would be so very grateful! Find the axis of symmetry y=x^2+7x+5 Click here to see answer by bucky(2189)

 Question 90551: This problem is so difficult! I honestly don't know what to do. Can someone please, please answer this question: Solve by completing the square: x^2=5x+2 Thank you. Click here to see answer by jim_thompson5910(28504)

 Question 90565: Hi can someone show me how to solve this equation using the quadratic formula? 5x^2+9x= -11 Click here to see answer by checkley75(3666)

 Question 90608: For 1989 and 1990 Dave Johnson had the highest decathalon score in the world. When Johnson reached a speed of 32 ft/sec on the pole vault runway, his height above the ground t seconds after leaving the ground was given by h=-16t^2+32t. For how long was he more than 14 ft in the air? Click here to see answer by scott8148(6628)

 Question 90605: Find the vertex and intercepts for each parabola. Sketch the graph. g(x)=x^2+x-6 Click here to see answer by stanbon(57246)

 Question 90583: I need major help solve each of the following quadiatic equations by completly the square. x^2-6x-3=0 and 2x^2+10x+11=0 thanks a million Click here to see answer by vertciel(183)

 Question 90696: Solve by completing the square: 4x^2 + 2x - 3 = 0 4x^2 + 2x = 3 x^2 + 2/4x = 3/4 Square one-half of the of the x-coefficient and then add it to both sides 1/2 of 2/4 = 1/4^2 = 1/16 x^2 + 2/4x + 1/16 = 3/4 + 1/16 (x-1/4)^2 = 13/16 x - 1/4 = +/- radical 13 over radical 16 x - 1/4 = +/- radical 13 over 4 x = 1/4 +/- radical 13 over 4 x = 1 +/- radical 13 over 4 Again, any feedback would be appreicated! Click here to see answer by vertciel(183)

 Question 90705: Can someone show me how to solve 64x^4 - 36x^2 = 0 Click here to see answer by scott8148(6628)

 Question 90879: Solve by completing the square: 4x^2 + 2x - 3 = 0 4x^2 + 2x = 3 x^2 + 2/4x = 3/4 Square one-half of the of the x-coefficient and then add it to both sides 1/2 of 2/4 = 1/4^2 = 1/16 x^2 + 2/4x + 1/16 = 3/4 + 1/16 (x-1/4)^2 = 13/16 x - 1/4 = +/- radical 13 over radical 16 x - 1/4 = +/- radical 13 over 4 x = 1/4 +/- radical 13 over 4 x = 1 +/- radical 13 over 4 Any help is appreciated. Click here to see answer by stanbon(57246)

 Question 90898: Solve the equation first by completing the square and then by factoring. Click here to see answer by bucky(2189)

 Question 90931: I've racked my brain for hours & I still don't know where to begin on this problem: A rectangular garden is to be surrounded by a walkway of constant width. The garden's dimensions are 30 ft by 40 ft. the total area, garden plus walkway, is to be 1800 ft^2. What must be the width of the walkway to the nearest thousandth? Thank you. Click here to see answer by jim_thompson5910(28504)

 Question 90758: Solve by completing the square: 4x^2 + 2x - 3 = 0 4x^2 + 2x = 3 x^2 + 2/4x = 3/4 Square one-half of the of the x-coefficient and then add it to both sides 1/2 of 2/4 = 1/4^2 = 1/16 x^2 + 2/4x + 1/16 = 3/4 + 1/16 (x-1/4)^2 = 13/16 x - 1/4 = +/- radical 13 over radical 16 x - 1/4 = +/- radical 13 over 4 x = 1/4 +/- radical 13 over 4 x = 1 +/- radical 13 over 4 Click here to see answer by bucky(2189)

 Question 90880: I have trouble with word problems like the following.... A rectangular garden is to be surrounded by a walkway of constant width. The garden's dimensions are 30ft by 40ft. The total area, garden plus walkway, is to be 1800ft^2. What must be the width of the walkway to the nearest thousandth? I honestly don't even know where to beginning??? Click here to see answer by ankor@dixie-net.com(15638)

 Question 90996: This is actually a Quadratic Function. Y= X squared -4 It needs the x-intercept, axis, and vertex. I'm not realy sure on how to do this. Click here to see answer by checkley75(3666)

 Question 91089: Debbie stopped by starbucks the other day, she decided to try and figure out how many possible coffee drinks were available. She noticed that a person could order regular or decaf, three sizes, iced or hot, 4 kinds of milk, 18 syrup flavors and whip or no whip. How many different coffe drinks are available if a person chooses one of each of the above options. regular=x Problem looks like this???? 3(x+1x)3(3x+4)+18-1 decaf=1x hot=3 iced=3x milk=4 syrup=18 whip=x no whip=1x Click here to see answer by psbhowmick(529)

 Question 91091: If you all could solve this one, I would be able to solve the rest that are like it and you would have my eternal adoration. The diameter (in inches) of a a 80 foot long wire has that a resistance of 24 ohms is defined by the function 24= 80/d2 (to the power of two that is). What is its diameter? Click here to see answer by stanbon(57246)
 Question 91091: If you all could solve this one, I would be able to solve the rest that are like it and you would have my eternal adoration. The diameter (in inches) of a a 80 foot long wire has that a resistance of 24 ohms is defined by the function 24= 80/d2 (to the power of two that is). What is its diameter? Click here to see answer by psbhowmick(529)

 Question 91094: I can normally do complete the square problems but this one's thrown me for a loop be of the fact that it has a fraction. What is the last term for w^2 - 7/3w + __ Click here to see answer by stanbon(57246)

 Question 91106: How do I solve this equation? 25w^2 - 25w = -3 Click here to see answer by jim_thompson5910(28504)

 Question 91110: Find y-intercept and vertex y = x^2 - 3x - 4 Click here to see answer by jim_thompson5910(28504)

 Question 91117: This one's like the other, but a bit different. 3(x-2)^2+1=0 I could tell I need to use the sqare root property but when I look in my textbook for an explanation, I don't undestand the + - in figuring it out. Click here to see answer by jim_thompson5910(28504)

 Question 91118: How do I solve the equation by completing the sqaure: x^2-4x-10=0 Also, I need to solve -9x-3x^2=5 using the quadratic formula. What's the difference of an algebra problem being solved by using a quadratic function, and one being solved by using the quadratic formula? Click here to see answer by jim_thompson5910(28504)

 Question 91115: I need to solve 3(x-2)^2=12. I want to use the distributive formula, but that doesn't seem to work. I guess I need to use the sqare root property? I'm unsure how to do this. Click here to see answer by jim_thompson5910(28504)

 Question 91138: Help!I need to find the midpoint between the points (3,2) and (7,10) Click here to see answer by stanbon(57246)