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Paladinen [302]
2 years ago
8

What are the solutions to the equation (2x – 5)(3x – 1) = 0?

Mathematics
2 answers:
user100 [1]2 years ago
8 0

Answer: x=\frac{5}{2}, x=\frac{1}{3}

Explanation:

The equation is:

(2x-5)(3x-1)=0

The term on the left consists of a product of two different factors: therefore, this product can be zero if either the first term (2x-5) or the second term (3x-1) is equal to zero.

This means that we can solve separately for the two terms:

2x-5=0\\3x-1=0

Solving the first equation:

2x-5=0\\2x=5\\x=\frac{5}{2}

Solving the second equation:

3x-1=0\\3x=1\\x=\frac{1}{3}

prohojiy [21]2 years ago
3 0

Answer:

\textbf{The solution of the given equation are : }\frac{5}{2}\textbf{ and }\frac{1}{3}

Step-by-step explanation:

The equation is given to be : (2x – 5)(3x – 1) = 0

We need to find the values of x such that the value of the equation is 0 and those corresponding values of x will be our required solution of the given equation.

Now, the product of two factors is given to be 0

⇒ Either of the two factors is equal to 0

So, first taking 2x - 5 = 0 and finding the value of x

⇒ 2x = 5

\implies\bf x=\frac{5}{2}

Now, taking the second factor equal to 0 and finding the other value of x

⇒ 3x - 1 = 0

⇒ 3x = 1

\implies\bf x = \frac{1}{3}

So, we get :

\bf x =\frac{5}{2}\textbf{ and }x=\frac{1}{3}

Hence, these two values of x are the required solution of the given equation

\textbf{Hence, the solution of the given equation are : }\frac{5}{2}\textbf{ and }\frac{1}{3}

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