Solve: 3x 2 -5x + 2 = 0 by completing the squares method.
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Answered by
205
3x² -5x +2 =0
Now divide the x² coefficient throughout,
⇒x²- 5x/3+2/3=0
Divide the coefficient of x by 2, and square it and add it and subtract it in the equation,
⇒x²-5x/3+2/3+25/36 -25/36 =0
⇒x²-5x/3+25/36 =1/36
⇒(x-5/6)²=(1/6)²
⇒x-5/6=plus or minus 1/6
x-5/6=1/6 (or) x-5/6= -1/6 ⇒x= -1/6+5/6⇒x=4/6 ⇒x=2/3.
x=1.
x=1(or)2/3.
Now divide the x² coefficient throughout,
⇒x²- 5x/3+2/3=0
Divide the coefficient of x by 2, and square it and add it and subtract it in the equation,
⇒x²-5x/3+2/3+25/36 -25/36 =0
⇒x²-5x/3+25/36 =1/36
⇒(x-5/6)²=(1/6)²
⇒x-5/6=plus or minus 1/6
x-5/6=1/6 (or) x-5/6= -1/6 ⇒x= -1/6+5/6⇒x=4/6 ⇒x=2/3.
x=1.
x=1(or)2/3.
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20
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