Example

3(r+2s)=2t-4
a⋅(b-2)=3b
3(r+2s)=2t-4
a⋅(b-2)=3b

Question

$$(x)=(4x-5)^{6}(7-2x)$$

Answer

x=1.0563301086426,1.4606742858887

Solution


Move all terms to one side.
\[x-{(4x-5)}^{6}(7-2x)=0\]
No root was found algebraically. However, the following root(s) were found by numerical methods.
\[x=1.056330,1.460674,3.499996\]
Check solution
When \(x=3.499996\), the original equation \(x={(4x-5)}^{6}(7-2x)\) does not hold true.We will drop \(x=3.499996\) from the solution set.
Therefore,
\(x=1.056330,1.460674\)
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