Another way of showing this process is as following :-
The equation :
3x^2-5x+2=0
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Explanation:
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
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