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 Question 154374: Hi, I tried to solve the following problem and this is what I got can someone tell me if its right? 1. 3^1/2(y)^2-4y-(3)^1/2=0 Which is our graphical form 3^1/2y^2-4y-(7(3)^1/2=0 simplifies to 3/2y^2-4*y-21/2=0 Explanation: Look at 3^1/2y^2-4y-(7(3)^1/2=0 Replace constants in factor: 3 ,1 with 3 It becomes 3/ 2*y^2 -4y 7*3^1/2=0 Look at 3/ 2*y^2 -4y 7*3^1/2=0. Replace constants in factor: {3},1 with 3 It becomes: 3/2*y^2 -4y -7*3/2 =0 Look at: 3 /2*y^2 -4y -7*3/2 =0 Multiplied numerator integers 7*3 to get 21 It becomes 3 /2*y^2 -4y -21/2 =0 Result: 3 / 2*y^2 -4y -21/2=0 Again, I sorry for the trouble I am causing thank you so much for your help. Jimmy Click here to see answer by jim_thompson5910(28593)

 Question 154390: How do I solve an equation by factoring, if the sum in a fraction? EXAMPLE: 6x + 7 = 20/x Click here to see answer by Alan3354(30993)
 Question 154390: How do I solve an equation by factoring, if the sum in a fraction? EXAMPLE: 6x + 7 = 20/x Click here to see answer by scott8148(6628)
 Question 154390: How do I solve an equation by factoring, if the sum in a fraction? EXAMPLE: 6x + 7 = 20/x Click here to see answer by ankor@dixie-net.com(15649)

 Question 154433: A triangular sail has an area of x^2+5x+6 square meters and a height of x+3 meters. Find the length of the sail's base. Click here to see answer by jim_thompson5910(28593)

 Question 154461: please help me solve this problem in quadratic equation; 1.a motorboat takes 4 hours to travel 30 miles downstream and then 18 miles upstream on a river whose current flows at the rate of 3 miles per hour. How fast can the boat travel in still water? Click here to see answer by stanbon(57308)

 Question 154457: please help me solve this problem 1.a rectangular plot of ground is 120 yards long and 80 yards wide.To double the area of the plot, while rataining the rectangular shape, strips of equal width will be added at one end and along one sde. Find the width of the strip? Click here to see answer by ankor@dixie-net.com(15649)

 Question 154615: I don't understand how to solve this problem. X^2-6x=16. So far I have X^2-6x+(6/2)^2=16 X^2-6x+36/4=16 I am unclear what to do after that so if you can help me, please. Click here to see answer by jim_thompson5910(28593)

 Question 154463: please help me solve this problem in quadratic equation; 48.A rectangular plot of ground is 120 yards long and 80 yards wide.To double the area of the plot, while rataining the rectangular shape, strips of equal width will be added at one end and along one sde. Find the width of the strip? 49.A motorboat takes 4 hours to travel 30 miles downstream and then 18 miles upstream on a river whose current flows at the rate of 3 miles per hour. How fast can the boat travel in still water? 50.The floor of a basement game room is covered by 480 square asphalt tiles of a certain size. if 3 inches were added to the length of a side of each tile, the floor could be covered by 270 tiles. find the length of a side of the tile on the floor? Click here to see answer by ankor@dixie-net.com(15649)

 Question 154767: I just wanted to make sure that (n-4)^2 = 25 is (1, 9) or did I do this wrong. Click here to see answer by Alan3354(30993)

 Question 154774: Find the perfect square trinomial whose first two terms are q^2 + 3q. My answer is q^2 + 3q + (9/4) I did the "complete the square method" (1/2 x 3)^2 and got (3/2)^2 and finally 9/4. Is this correct? Click here to see answer by Alan3354(30993)

 Question 154781: how would I solve sqrt -x +7 = x-1=6x Click here to see answer by jamocha101(1)

 Question 154789: I am trying to solve p2 – 15p = –54 but I am not getting the answers provided. I used the quadratic equation -b +- (sqrt) b^2 - 4ac / 2a -(-15) +- (sqrt) (-15)^2 - 4(1)(54) 15 +- (sqrt) 225-216 / 2 15 +- 9 / 2 X = 12 X = 3 what did I do wrong? Click here to see answer by stanbon(57308)

 Question 154786: Im having trouble with the following question. Use the discriminant to determine whether the given quadratic polynomial can be factored, then factor it if it is not prime. Match your result to the correct answer below. –8x2 – 3x – 5 1)(–8x – 5)(x – 3) 2)(x – 3)(x – 5) 3)(–8x – 3)(x – 5) 4)The expression is prime. Click here to see answer by checkley77(12569)

 Question 154865: Please help me: Write 3 quadratic equations with a,b,c (coefficient of x^2, x, and the constant) as 1. integers 2. rational # 3. irrational # These are my answers, am I close? 1. 2x^2+6x-10=0 2. 1/4x^2+ 1/3x= -6/7=0 3. (sq2) x ^ 2 - (sq3)x + (sq5) = 0 Click here to see answer by Fombitz(13828)

 Question 155037: algebra of linear and quadratic expressions. find the values of k for which the quadratic 2x^2+kx+9=0 has one real solution, and another with no real solutions. Click here to see answer by jim_thompson5910(28593)

 Question 155043: I'm not sure how to do this, and i need some help. consider the equation x^2+2x=7. Prove that this equation has two real roots. Click here to see answer by jim_thompson5910(28593)

 Question 155098: find a quadratic equation where f(2)=16 and the minimum value of f is f(-2)=-16 Click here to see answer by stanbon(57308)

 Question 155157: Can someone help with the following word problem, I tried the quadratic equation but I am not getting any of the answers. Thank you. Hazel has a screen door whose height is 4 feet more than its width. She wishes to stabilize the door by attaching a steel cable diagonally. If the cable measures (sqrt 19)/2 ft, what are the dimensions of the door? (1 point) A) 2 1/4 ft by 6 1/4 ft B) 2 1/2 ft by 6 1/2 ft C) 3 ft by 7 ft D) 3 1/2 ft by 7 1/2 ft Click here to see answer by stanbon(57308)

 Question 155245: for what value(s) of k will the graph of y = x^2-3x+k a) touch the x-axis b) never meet the x-axis? Click here to see answer by jim_thompson5910(28593)

 Question 155269: use the quadratic equation so solve the equation x(x+5)=-10 what is the solution set? { } Click here to see answer by checkley77(12569)

 Question 155265: solve by completing the square 2x^2+5-1=0 The solution are/is x= Click here to see answer by stanbon(57308)

 Question 155244: express the following functions in turning point form and hence sketch their graphs. y = x^2-2x+1 Click here to see answer by checkley77(12569)

 Question 155376: 1. A rectangular garden has dimensions of 18 feet by 13 feet. A gravel path of uniform width is to be built around the garden. How wide can the path be if there is enough gravel for 516 square feet? Click here to see answer by jim_thompson5910(28593)

 Question 155377: 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 jim_thompson5910(28593)

 Question 155378: 3. Steve traveled 200 miles at a certain speed. Had he gone 10mph faster, the trip would have taken 1 hour less. Find the speed of his vehicle. Click here to see answer by jim_thompson5910(28593)

 Question 155379: 4. The Hudson River flows at a rate of 3 miles per hour. A patrol boat travels 60 miles upriver, and returns in a total time of 9 hours. What is the speed of the boat in still water? Click here to see answer by jim_thompson5910(28593)

 Question 155381: 1. True or false: The function "f(x) = " grows three times faster than the function "g(x) = x". Explain. Click here to see answer by jim_thompson5910(28593)

 Question 155386: I am struggling with Algebra and quadratic equations. I do not understand how to solve the following: solve: 3x + x(x-2)= 0 find the x-incercepts of f(x)=3x + x(x-2). The answer is 0, -1 as shown in my text but I do not undertand how to arrive at the intercepts, I get 3x + x^2 -2x = x^2 -x =0? This does not look like a quadratic formula. Click here to see answer by Earlsdon(6287)