Completing the square math question.?
813834
It didn't disappear.  Expand (x + b/2a)^2 and you will find it.
612346
Fact or out the x. This leaves 36x^2-84x+49 which is a perfect square (6x-7) so it facotrs to:\n\nx(6x-7)(6x-7)
249745
the answer is \n\n(sq.rt 3)(sq.rt 3) + 3(sq.rt 3) - (sq.rt 3) - 3\n\n= 3 + 2(sq.rt 3) - 3\n\n= 2(sq.rt 3)\n\nand that is worth 10 marks not 2
185700
It's bringing the √2 out from the brackets. \n\nMultiply 1+(3/2) by 2... what do you get? 2+(3)\nMultiply 1+(√3/2) by √2.. what do you get √2+(√3)
848127
When you added x to the right side, you should have gotten:\n\n4 = x^2\n\nThen take the square root of both sides to get\n\nx = 2, -2
841437
Draw a picture - a square with corners (0,0), (2,0), (0,2), (2,2), showing the range of possible values for x and y.\nNow, what part of that square has the difference < 1? Its a hexagon to be precise; its the entire square except for a little triangle at the top left, and a little triangle at the bottom right. The two sloping sides go from (0,1) to (1,2) and (1,0) to (2,1).\nThose triangles each have area 1*1/2 = 0.5, so area 1 combined.\nSo the total area left is 4-1 = 3, so the answer is 3/4.
797591
2...... 2....... 2 (2 is the square root)\nx  =17 .. +  ..10\ndo the same for the next one\nu can solve the equation ,I know u can
816340
Well, the second question is kinda fun... the fifth term has to be 2, so that the fourth term + the fifth term = the sixth term.  That means the seventh term is 2 + 6 = 8, and the eighth term is 6 + 8 + 14.\n\n* * * * \n\nOK, on the first one: Make a diagram so that you can visualize this.  You should see that the area of the square is the same as two right triangles, while the area of the trapezoid is the same as three right triangles.  So, the area of the trapezoid is 3/2 the area of the square, or 3/2 * 2800 = 4200.
437003
let the numbers be \nx-d, x and x+d. \n\ntheir sum is zero => x = 0\n\nThe sum of their squares is 8 => 2*d^2 = 8 => d = 2\n\nHence the numbers are -2,0,2
571026
Whenever you have the difference of two squares\n\nF^2-S^2\n\nit factors as\n\n(F-S)(F+S)\n\nMemorize that pattern and problems like this will be a breeze.
941539
A square is a quaderlateral. All of it's sides are the same length. If you want to find the area you multiply the side by it's other side. In this case it would be 5 X 5. This would equal 25. So your square's area is 25 square units.
860621
That means write a binomial that if squared gives you t^2 - t + some constant then subtract that constant to "complete" the square.\n\n(t - 1/2)^2 would be t^2 - t + 1/4 so you have\n\n[(t-1/2)^2 - 1/4 ]- 1 = 0\n\n(t-1/2)^2 - 5/4 = 0\n\n(t- 1/2)^2 = 5/4\n\nsq rt both sides\nt - 1/2 = +- sqrt(5)/2\n\nadd 1/2 to both sides\n\nt = 1/2 +- sqrt(5)/2
487271
suppose the size of the square need to be cut is x^2, (it means that the length of each side is x).\nwe will have an equation:\n   80= (14-2x)(11-2x)\nthen you will get the answer.\n\ni am from china, i not sure i fully expressed my solution:)
1055731
check the statement of the problem\nand 3squared=3^2=9
844053
I'll rewrite the question for you, because we usually denote ^ as "to the power of" for simplicity.\n\nx^2 + y^2 - 4x + 2y = 4\n\nWe have to do a process called completing the square, for both the x and y variables.  So first, let's group all the x terms together and y terms together.\n\nx^2 - 4x + y^2 + 2y = 4\n\nTo complete the square, we have to add 4 to the x terms and 1 to the y terms.  Since we're adding 4 and 1 to the left hand side, we have to do the same to the right hand side.\n\nx^2 - 4x + 4 + y^2 + 2y + 1 = 4 + 4 + 1\n\nNow, we factor those now square polynomials.\n(x-2)^2 + (y+1)^2 = 9\n\nThe center of the circle is given by the values in the brackets, but the negative of them.  In the above case, the center is at (2,-1), since you take the negative of -2 (the value next to the x) and 1 (the value next to the y).\n\nTo get the radius, you take the square root of the right hand side, so the square root of 9 is 3.
780717
Divide the coefficient of the x term by 2:  -5/2\nThen square it:  (-5/2)^2 = 25/4\nAnswer: 25/4
874062
This progression is created by squaring the previous number and adding 1.\n0 squared = 0, add 1 and you get 1.\n1 squared = 1, add 1 and you set 2\n2 squared = 4, add 1 and you get 5,\nand so on.