How to solve the equation 2t3 6t2 6t 1 0

Original writing: 2*t 3-6*t 2+6*t-2+1=0, then: 2*(1-t) 3+1=0

One of the solutions is:

1-t)^3=1/2

t1 = 1 - 1/2^(1/3)

The other two solutions require skill, and can be directly used by the general solution method of a cubic equation (the formula method).

t2 = 1 + 1 - i √3)/(2*2^(1/3))t3 = 1 + 1 + i √3)/(2*2^(1/3))

Solve the equation: 6-3t = -5-2t

Move the unknown term to the left of the equal sign, and the known term to the right of the equal sign, and pay attention to the negative sign of the positive acorn stove.

3t+2t=-5-6

Calculate addition and subtraction on both sides of the equal sign.

t=-11 is divided by -1 on both sides of the equal sign at the same time to solve the unknown.

t=11 check:

6-3t = 5-2t for one answer

Solution: The rest of the transfer is discussed:

A 3t + 2t = a 5 a 6

Merge items of the same kind.

De: one t = one 11

The coefficient is cleared to 1:

t=11。

Solution 1: (2t-1) 2+6=5(2t-1)4t 2-4t+1+6=10t-5(2t) 2-14t=-12(2t) 2-14t+(7 2) 2=1 4[2t-(7 Jianchangze2)] 2=1 42t-(7 2)= 1 22t=( 1+7) 2t=( 1+7) 4 So t1=2,t2=3 2 Solution Manuscript Shed 2: Xunhe(2t-1) 2+6=5(2t-1)4t 2-4t+1+6=10t-54t 2-14t+12=..

This is a simple unary equation.

Merge the same kind of terms first, which is to take the Li code 2t-t=3+6.

The result is t=9.

I hope I can pay attention to it, and I hope it can help you.

2t-2）-（6+t）=3

2t-2-6-t=3 [large size to go to the brackets] posture imitation eggplant.

t=3+2+6 [Move].

t=11

For the left round finch to find the orange swim early guide, we get 6t 2-18t+6=0, (t-3 2) 2=5 4, (t-3 2) is equal to the root number 5 of 2, so t = 3/2 plus the root number 5

From the original equation, (3t-4) is obtained by selling (4t-1) = 2t (6t + 5), (2 points).

Get 12t 2 -19t + 4 = 12t 2 + 10t, that is, 29t = 4, so t = 4 29, (4 points).

In the test, t= 4 29 is substituted into the simplest common denominator 2t(4t-1)≠0, and t= 4 29 is the root of the original equation (6 points).