(3x-12)(x-4)
16? using 16, you have (3x2 + 4)(3x2 + 4) = 9x2 + 24x + 16
x=-.25.
The idea is to solve the equation -3x2 + 24x - 19 = 0. You can use the quadratic formula for this, using a = -3, b = 24, c = 19. Or complete the square since dividing by -3 will give us 8x, an even coefficient. -3x2 + 24x - 19 = 0 (add and subtract 48 to the left side) -3x2 + 24x -48 + 29 = 0 (subtract 29 to both sides, and factor out -3) -3(x2 - 8x + 16) = -29 (divide by -3 to both sides) (x - 4)2 = 29/3 x - 4 = ± √(29/3) (add 4 to both sides) x = 4 ± √(29/3) (multiply by 3/3 inside the radical, if you want to rationalize the denominator) x = 4 ± (√87)/3
3x2 + 48 + 192 = 3x2 + 240 = 3 (x2+ 80)
Make it easier, divide by 3: 3(x2 - 8x - 16) This is as far as it goes. (Quadratic formula gives roots as 9.66 and -1.66)
3(2) + 24x + 48 = 0 6 + 24x + 48 = 0 24x + 54 = 0 24x + 54 - 54 = 0 - 54 24x = -54 24x/24 = -54/24 x = -9/4 x = -2 1/4
(3x-12)(x-4)
3x2 + 24x + 48
16? using 16, you have (3x2 + 4)(3x2 + 4) = 9x2 + 24x + 16
GCF = 12x.24x = 2(12x)36x3 = 3x2(12x)
3x(x - 8)
x=-.25.
By using the quadratic equation formula which will work out as: x = 4- the square root of 32 and x = 4+the square root of 32
No real roots.
The idea is to solve the equation -3x2 + 24x - 19 = 0. You can use the quadratic formula for this, using a = -3, b = 24, c = 19. Or complete the square since dividing by -3 will give us 8x, an even coefficient. -3x2 + 24x - 19 = 0 (add and subtract 48 to the left side) -3x2 + 24x -48 + 29 = 0 (subtract 29 to both sides, and factor out -3) -3(x2 - 8x + 16) = -29 (divide by -3 to both sides) (x - 4)2 = 29/3 x - 4 = ± √(29/3) (add 4 to both sides) x = 4 ± √(29/3) (multiply by 3/3 inside the radical, if you want to rationalize the denominator) x = 4 ± (√87)/3
24x. For example, if x is 2, then 24x equals 48.