Question

solve quadratic equation 3x²_ 5x+2=0 using formula?​

Answer 1

$\Large{\bf{\green{\mathfrak{\dag{\underline{\underline{Given:-}}}}}}}$

• 3x² - 5x + 2 = 0

$\Large{\bf{\orange{\mathfrak{\dag{\underline{\underline{To \: Find:-}}}}}}}$

• Solve and find factors

$\Large{\bf{\red{\mathfrak{\dag{\underline{\underline{Solution:-}}}}}}}$

• 3x² - 5x + 2 = 0

We are going to solve the above quadratic equation by PSF method,

• P = 3x² * 2 = 6x²

• S = - 5x

• F = - 3x , - 2x

Taking the equation,

• 3x² - 5x + 2 = 0

Substituting - 3x , - 2x in place of - 5x,

• 3x² - 3x - 2x + 2 = 0

Taking out the common ones,

• 3x (x - 1) - 2 (x - 1) = 0

• (x - 1) (3x - 2) = 0

• x - 1 = 0 , 3x - 2 = 0

• x = 1 , 3x = 2

• x = 1 , x = $\sf \dfrac{2}{3}$

• x = 1 , $\sf \dfrac{2}{3}$

Therefore,

• $\underline{\boxed{\therefore{\purple{\tt{Factors \:of \:3x^2 \:- \:5x\: + \:2\: = \:0\: are\: 1\: , \: \dfrac{2}{3}}}}}}$

Answer 2

Step-by-step explanation:

${3x}^{2} - 5x + 2 = 0$

a = 3

b = -5

c = 2

$x = \frac{ - b \frac{ + }{ - } \sqrt{ {b}^{2} - 4ac } }{2}$

$\frac{5 + \sqrt{ { (- 5) }^{2}- 4 \times 3 \times 2 } }{2}$

$\frac{5 + \sqrt{25 - 24} }{2}$

$\frac{5 + \sqrt{1} }{2}$

Taking (+) sign we get

$x = \frac{5 + 1}{2} = \frac{6}{2} = 3$

$x = 3$

Taking (-) sign we get.

$x = \frac{5 - 1}{2} = \frac{4}{2} = 2$

$x = 2$

I hope it's help

Please Mark brilliant