Question

find the root of the following equation by factor method:-

3x^2 - 5x + 2 (here it is 3x squre minus 5x plus 2)​

Answer 1

Step-by-step explanation:

3x^2 - 5x + 2 = 0

3x^2 - 3x - 2x +2 = 0

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

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

x= 2/3 , 1

Answer 2

$\large\bf\underline{Given:-}$

• equation:-3x² - 5x + 2

$\large\bf\underline {To \: find:-}$

• roots of given equation

$\huge\bf\underline{Solution:-}$

• Equation :- 3x² - 5x + 2

»» 3x² - 3x - 2x + 2

»» 3x(x - 1) -2(x - 1)

»» (3x - 2)+( x -1)

»» x = 2/3 or x = 1

$\bigstar \: \large\underline{ \tt \: verification : - }$

Equation :- 3x² - 5x + 2

putting Value of x = 2/3 in the given equation

➝ 3×(2/3)² - 5 × 2/3 + 2

➝ 3 × 4/9 - 10/3 + 2

➝ 4/3 - 10/3 + 2

➝ (4 - 10 + 6)/3

➝ (10 - 10)/3

➝ 0/3

➝ 0

So, we get 0 . therefore Value of x = 2/3 is correct.

Now putting value of x = 1 in the given equation.

➝ 3x² - 5x + 2

➝ 3 × 1² - 5 × 1 + 2

➝ 3 × 1 - 5 + 2

➝ 3 -3

➝ 0

We get 0 . therefore Value of x = 1 is correct.

✝️ So , roots of equation 3x² - 5x + 2 is 2/3 and 1 is correct.