46
Improved answer:
First rearrange this quadratic equation which will have two solutions :
2x2-10x-6 = 0
Simplify the equation by dividing all terms by 2:
x2-5x-3 = 0
Then by using the quadratic equation formula it will work out as:
x = (5 + the square root of 37)/2
or x = (5 - the square root of 37)/2
2x2 = 10x + 12 2x2 - 10x - 12 = 0 x2 -5x -6 = 0 x2 - 6x + x - 6 = 0 x(x -6) + 1(x -6) = 0 (x+1)(x-6) = 0 x = -1 or x = 6
x + 13x + 10x = 50 - 6
6-x+12 = 10x+7 6+12-7 = 10x+x 11 = 11x x = 1
x2 + 7x = 2x2 + 6 x2 - 2x2 + 7x = 6 -x2 +7x - 6 = 0 or alternatively x2 - 7x + 6 = 0
-6x-6 -or- -6(x+1)
2x2 = 10x + 12 2x2 - 10x - 12 = 0 x2 -5x -6 = 0 x2 - 6x + x - 6 = 0 x(x -6) + 1(x -6) = 0 (x+1)(x-6) = 0 x = -1 or x = 6
x + 13x + 10x = 50 - 6
6-x+12 = 10x+7 6+12-7 = 10x+x 11 = 11x x = 1
x2 + 7x = 2x2 + 6 x2 - 2x2 + 7x = 6 -x2 +7x - 6 = 0 or alternatively x2 - 7x + 6 = 0
-6x-6 -or- -6(x+1)
y=-10x-4
20x3 - 70x2 + 60x = 10x(2x2 - 7x + 6) = 10x(2x - 3)(x - 2).
6-3x = 5x-10x+2 4 = 8x-10x 4 = -2x x = -2
12x - 6 = 10x +2 12x - 10x = 2 + 6 2x = 8 x = 4
-6
10*6+8*7 = 116
Substitute the values of x and y in 10x + 7y, thus: 10x + 7y = 10*9 + 7*6 = 90 + 42 = 132