Question

Solve quadratic equation 3x2-5x+2=0 using formula​

Answer 1

Answer:

x=8/5

hope it helps

step by step explanation

Answer 2

Given quadratic equation

3x² – 5x + 2 = 0

Solution

The given equation is not in the form to apply the method of completing squares. The coefficient of x² is not 1.

To make the coefficient 1, we need to divide the whole equation by 3.

x² – 5/3 x + 2/3 = 0

Comparing with the standard form of the equation

Stand form of equation is

ax² + bx + c = 0, where a,b and c are real numbers such that a ≠ 0 and x is a variable.

b = -5/3; c = ⅔

c – b2/4 = ⅔ – [(5/3)2/4] = ⅔ – 25/36 = -1/36

So,

= (x – 5/6)² = 1/36

= (x – 5/6) = ± √(1/36)

= x – 5/6 = ±1/6

= x = 1, -2/3

Answer

Hence the roots of the equation are x = 1, -2/3