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• (x-4)/(2x-5)=0
what is the answer this ​


Sagot :

Answer:

Solution

[tex]x = 4[/tex]

Step-by-step explanation:

[tex]\frac{x-4}{2x-5} = 0[/tex]

1. Identify the numerator: For the fraction to equal zero, the numerator must be zero (since a fraction is zero if and only if its numerator is zero while its denominator is non-zero).

[tex]x - 4 = 0[/tex]

2. Solve for ( x ): Set the numerator equal to zero and solve for ( x ).

[tex]x - 4 = 0 \implies x = 4[/tex]

3. Check the solution against the denominator: Ensure that the denominator is not zero for the value of \( x \) that we found.

[tex]2x - 5 \quad \text{when} \quad x = 4 [/tex]

[tex]2(4) - 5 = 8 - 5 = 3[/tex]