x2 + y2 - 10x + 4y - 52 = 0
x2 - 10x + y2 + 4y = 52 Complete the square
(x2 - 10x + 25) + (y2 + 4y + 4) = 52 + 25 + 4
(x - 5)2 + (y + 2)2 = 81
(x - 5)2 + (y - -2)2 = 92
This is the equation of a circle with center (5, -2), and radius 9.
The solutions work out as: x = 52/11, y = 101/11 and x = -2, y = -11
y^2+9y-52 = (y+13)(y-4)
Straight line: 3x-y = 5 Curved parabola: 2x^2 +y^2 = 129 Points of intersection works out as: (52/11, 101/11) and (-2, -11)
There are an infinite number of possible answers. 152*1 or 151+1 or 153-1 or 153/1 and then we can try with 2, 3, 4, etc and then with 0.1, 0.2 etc and then 1.1, 1.2, 1.3, ... 2.1, 2.2, 2.3, ... 3.1, etc and then irrational numbers.
-52x <= 7 (-52x)/(-52) >= 7/(-52) {divide both sides by -52, and reverse the inequality when dividing by a negative. x >= -7/52 There is no largest integer value for x. If the question was ... greater than or equal to ... then the solution would be x <= -7/52, and the largest integer value would be -1.
Complete the squares: x2 - 10x + 25 + y2 + 4y + 4 - 52 = 25 + 4 = 29 x2 - 10x + 25 + y2 + 4y + 4 = 52 + 29 = 81 So the radius is sqrt(81) = 9
95 plus 52 plus 95 plus 52 equals 294.
8x6 plus 4 equals 52.
If: y = 10x -12 and y = x^2 +20x +12 Then: x^2 +20x +12 = 10x -12 Transposing terms: x^2 +10x +24 = 0 Factorizing: (x+6)(x+4) = 0 => x = -6 or x = -4 Points of intersection by substitution are at: (-6, -72) and (-4, -52)
68-3x=10x+16 Combine like terms. (Subtract 16 from both sides. Subtract -3x from both sides.) This will give you: 52=13x Divide both sides by 13. Your answer is x=4.
52
64
The mathematical statement 31 plus 21 equals 52 as a total.
52
It is 63a - 52.
122
308