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Solution: First x-3》0 get x》3
Move 2x to the right of the equation and square the two sides.
x-3=4x^2-24x+36
4x^2-25x+39=0
x-3)(4x-13)=0
x=3 or x=13 4
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Commutation method. 2x+√(x-3)=6
x-3)=6-2x
x-3)=2(3-x)
Order: a= (x-3).
Then: 3-x=-a
The original equation is: a=-2a
Solution: a=0 or a=-1 2
x-3)≥0
a=√(x-3)=0
x=3I hope mine is helpful to you, o( o!
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2x+√(x-3)=6
x-3)=6-2x
x-3=(6-2x)²
Solve binary equations.
Pay attention to root addition. Method 2
2x+√(x-3)=6
2x-6+√(x-3)=0
2(x-3)+√x-3)=0
2(√(x-3))²x-3)=0
Let (x-3)=y
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Solution: Move the term to get x-3=(6-2x), x-3 0, and then you can solve it yourself to get x=3 or x=13 4
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Let the root number (x-3)=t t t be greater than or equal to 0
x-3=t^
x=t^+3
So 2t +6+t=6
2t(t+1)=0
t=0 or -1 (rounded).
So t=0x=3
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The original equation becomes ln(,[5(1-x) 3], subtracting from the left and increasing from the right, with a unique solution.
Let f(x)=[5(1-x) 3] ,f(,f(,f(,f(,f(,f(,f(,f(,f(,,x
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1) 2/(x+2)=3/(x-2)2(x-2)=3(x+2)
2x-4=3x+6
2x-3x=6+4
x=10x=-10
It is tested: x=-10 is the solution of the original fractional equation.
2) x/(x+1)+(x-1)/x=2x^2+(x+1)(x-1)=2x(x+1)x^2+x^2-1=2x^2+2x
x^2+x^2-2x^2-2x=1
2x=1x=-1/2
It is tested that x=-1 2 is the solution of the original fractional equation.
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Solve the equation first. There seems to be a problem with this problem, and in the end it is simplified to: 1=0, which has nothing to do with m, and the formula does not hold.
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Don't write the multiplication sign and x together, your x is too much like the multiplication sign, if you understand correctly, it's a cubic equation, you haven't learned to solve the formula, what should be investigated is factorization.
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