4 * 3=12 * 2-X-3
12=24-(X+3)
0=12-(X+3)
0=X-9
X=-9
The "degree" is the highest power - in this case, the 3 in 4x3 (4 times to the third power).
x: x2 - 81 = 0
y=±√15
16
4x3=12x20=240the answer to 4x3xx20 is 240
The "degree" is the highest power - in this case, the 3 in 4x3 (4 times to the third power).
2sinx+1 equals 0
For y - 2y - 3y equals 0, y equals 0.
many solutions
"x equals 0" is an equality, not an inequality. The question is, therefore, not consistent.
Suppose x3-4x = 0. To solve, factor: x3-4x = x(x2-4) = x(x+2)(x-2) = 0 Now, a product equals 0 if and only one or more of the factors equals 0, so set each factor to 0 and solve. The roots are 0,-2 and +2.
x: x2 - 81 = 0
Solve this problem -x squared -40x- 80 =0
x=2
10x=x 9x=0 x=0
Divide both sides by 8: m = 0
There are a number of ways. One possibility is the iterative method. Rewrite the equation so as to make x the subject: 4x3 + 0.4x2 + 0.01x - 2.4*10-18 = 0 4x3 = 2.4*10-18 - 0.4x2 - 0.01x x3 = (2.4*10-18 - 0.4x2 - 0.01x)/4 x = cuberoot[(2.4*10-18 - 0.4x2 - 0.01x)/4] The original equation is approximately equal to 4x3 + 0.4x2 + 0.01x = 0 or x*(20x - 1)2 = 0 which has roots at x = 0 and x = -0.05 Start with a value, x1 near one of these roots and use the iteration: xn+1 = cuberoot[(2.4*10-18 - 0.4xn2 - 0.01xn)/4] where n = 1, 2, 3, etc to improve your estimates. The resulting roots are, not surprisingly, 0 and -0.05 to 10 decimal places.