Respuesta :
The factors of 2 x²-3 x+1 is 1 or 1/2.
How to factorise the equation 2x²-3 x+1?
Having the form ax2 + bx + c = 0, quadratic equations are second-degree algebraic expressions. From the term "quad," which meaning square,the word "quadratic." means comes.
A quadratic equation is a "equation of degree 2," to put it another way. An algebraic equation of the second degree in x is a quadratic equation. Any equation in algebra that can be written in standard form as where x is an unknown and a, b, and c denote known numbers, where a is not equal to 0 is a quadratic equation.
Steps to factorise the equation:
Step 1: Convert the equation to standard form with a zero on one side.
Step 2: Finding the factors of variable for the non-zero side.
Step 3: Reset each component to zero (Remember: a product of factors is zero if and only if one or more of the factors is zero).
Step 4: Solve each of the ensuring equations.
given that the quadratic equation is
[tex]2 {x}^{2} - 3x + 1 \\ 2 {x}^{2} - 2x - 1x + 1 \\ 2x(x - 1) - 1(x - 1) \\ (x - 1)(2x - 1) \\ x - 1 = 0 \: \:, \: \: 2x - 1 = 0 \\ x = 2 \: \: , \: \: x = \frac{1}{2} [/tex]
Hence,the factors of 2 x²-3 x+1 is 1 or 1/2.
Learn more about quadratic equations from here:
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