Tutors Answer Your Questions about Radicals (FREE)
Question 182181: Find the real solutions of each equation.
31. the sqrt of 10 + 3 and within this sqrt is the sqrt of x = the sqrt of x
33. (3x +1) to the power of 1/2 = 4
39. x to the power of 3/2 - 3x to the power of 1/2 = 0
Click here to see answer by Alan3354(30959)   |
Question 183287:  = 
Hi,
I have been squaring both sides to get rid of the radical signs: 4-7x = 2x. x = 4/9 is what I'm coming up with, but the answer key says x = 1/2. I'm missing something. Any help explaining this problem would be greatly appreciated.
Thanking you in advance,
Lynn Scott
Click here to see answer by jim_thompson5910(28476) |
Question 183287: =
Hi,
I have been squaring both sides to get rid of the radical signs: 4-7x = 2x. x = 4/9 is what I'm coming up with, but the answer key says x = 1/2. I'm missing something. Any help explaining this problem would be greatly appreciated.
Thanking you in advance,
Lynn Scott
Click here to see answer by stanbon(57219) |
Question 184189: 114. Surface area of a cube. The formula A =6V^2/3 gives
the surface area of a cube in terms of its volume V. What is the volume of a cube with surface area 12 square feet?
94. Find all real or imaginary solutions to each equation.
49x^2+9=42x
98. x-1/x+2= 2x-3/x+4
106. Find exact and approximate solutions to each problem.
One on one. Find two positive real numbers that differ by 1 and have a product of 1.
110. Winston works faster. Winston can mow his dad’s lawn in 1 hour less than it takes his brother Willie. If they take 2 hours to mow it when working together, then how long would it take Winston working alone?
114. Maximizing profit. The total profit (in dollars) for sales of x rowing machines is given by P(x)=-0+2x^2+300x-200 . What is the profit if 500 are sold? For what value of x will the profit be at a maximum?
Click here to see answer by solver91311(16868)  |
Question 184247: 114. Surface area of a cube. The formula A =6V^2/3 gives
the surface area of a cube in terms of its volume V. What is the volume of a cube with surface area 12 square feet?
94. Find all real or imaginary solutions to each equation.
49x^2+9=42x
98. x-1/x+2= 2x-3/x+4
110. Winston works faster. Winston can mow his dad’s lawn in 1 hour less than it takes his brother Willie. If they take 2 hours to mow it when working together, then how long would it take Winston working alone?
114. Maximizing profit. The total profit (in dollars) for sales of x rowing machines is given by P(x)=-0+2x^2+300x-200 . What is the profit if 500 are sold? For what value of x will the profit be at a maximum?
Click here to see answer by Alan3354(30959) |
Question 184247: 114. Surface area of a cube. The formula A =6V^2/3 gives
the surface area of a cube in terms of its volume V. What is the volume of a cube with surface area 12 square feet?
94. Find all real or imaginary solutions to each equation.
49x^2+9=42x
98. x-1/x+2= 2x-3/x+4
110. Winston works faster. Winston can mow his dad’s lawn in 1 hour less than it takes his brother Willie. If they take 2 hours to mow it when working together, then how long would it take Winston working alone?
114. Maximizing profit. The total profit (in dollars) for sales of x rowing machines is given by P(x)=-0+2x^2+300x-200 . What is the profit if 500 are sold? For what value of x will the profit be at a maximum?
Click here to see answer by ankor@dixie-net.com(15624)  |
Question 184347: 114. Surface area of a cube. The formula A =6V^2/3 gives
the surface area of a cube in terms of its volume V. What is the volume of a cube with surface area 12 square feet?
110. Winston works faster. Winston can mow his dad’s lawn in 1 hour less than it takes his brother Willie. If they take 2 hours to mow it when working together, then how long would it take Winston working alone?
114. Maximizing profit. The total profit (in dollars) for sales of x rowing machines is given by P(x)=-0+2x^2+300x-200 . What is the profit if 500 are sold? For what value of x will the profit be at a maximum?
Click here to see answer by edjones(7569)  |
Question 184704: For each of the following equations use the discriminant to determine what type of number the solutions will be (i.e. rational, irrational, or imaginary), and how many solutions exist. Defend your answers using algebra.
a) 9x^2-12x+4=0
b) 2x2+7x-3=0
Click here to see answer by vleith(2825) |
Question 184754: Jane comes up to you with the following dilemma:
She read in the book that  but she
did some math on her own and came up with the following:
Her question is how can this be? Write a paragraph explaining how to resolve this dilemma for her.
Click here to see answer by Edwin McCravy(8879)  |
Question 185652: If one-fifth of the oil flows out every hour and 50,000 imperial gallons remain in the tank after 3 hours, how much will be in the tank after 10 hours?
I solved this problem by taking the formula (x-.20x)= y and performing it seven times, for the answer 10,485.76 gallons. However, how do you make the equation simpler using roots and rational exponents?
Click here to see answer by Alan3354(30959) |
Question 185989: Thanks for your help on a question last week. The answer was very helpful. I just have two more. Hopefully you can show me the error of my ways.
Solve for X. I think the answer is x is not equal to 8 or -8.
(X/X^2-64)+(8/x-8)=1/x+8
My next question is:
Simplify so there are no radicals in the denominator
4/sq root of x + sq root of 2y
Click here to see answer by stanbon(57219) |
Question 186088: Thomas is going to make an open-top box by cutting equal squares from the four corners of an 11 inch by 14 inch sheet of a cardboard and folding up the sides. If the area of the base is to be 80 square inches then what size square should be cut from each corner?
Click here to see answer by ankor@dixie-net.com(15624) |
Question 186279: could someone explain to me how i should siplify sqare roots as such;
2sqrt(3)+sqrt(27)-sqrt(1/3)
or
sqrt(1/2)*(sqrt(8)+sqrt(2))
or
sqrt(18)-sqrt(3)over sqrt(6)
and the last thing i need help in would be; sqrt(a)+sqrt(b) over sqrt(a)-sqrt(b)
i totally suck when it comes to things like sqrt =(
Click here to see answer by Alan3354(30959) |
Question 186518: HELP ME PLEASE...
I dont really undersatnd radicals.... how do you solve them.
k I think this is right... the problem was radical 44 and I got 11 radical 4.
But I need help with these problems.....
radical 48
radical 200
1/2 radical 112
radical 2 * radical 8
and problems like these....
radical 7/9
2 radical 5/4
2 radical 10/2
8 radical 13/9
4 radical 16/4
5 radical 6/2
and problems like....
radical 32 over radical 25
radical 49 over radical 4
radical 9 over radical 4
radical 64 over radical 16
and problems like these...
1/2 radical 32 * radical 2
radical 9 * 4 radical 25
radical 7 * radical 18 over radical 2
radical 10 * radical 16 all over radical 5
K i know that these will take up a lot of time to explain but I really need your help. If you dont want to do all these problems then dont but it would help me out tons. These are only like half of my home work please please help me thanks so much!!!!
Click here to see answer by Alan3354(30959) |
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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, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145
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