Question

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

Answer 1

x = 5/2 or x = 1/3

Explanation:

Simplify

( 2 x − 5 )( 3 x − 1 ) .

6 x 2 − 17 x + 5 = 0

Use the quadratic formula to find the solutions.

`(-b+√(b^2-4ac) )/(2a)` or
`(-b-√(b^2-4ac) )/(2a)`

Substitute the values a = 6 , b = − 17 , and c = 5 into the quadratic formula and solve for x .

17 ±sqrt(-17)^2-4*(6*5)

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2*6

Simplify.

x = 17 ± 13 /12

The final answer is the combination of both solutions.

x = 5 /2 , 1 /3

Answer 2

x = 5/2 or x = 1/3

C is the answer.