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ss7ja [257]
3 years ago
8

Solve this equation by completing the square. 3x2 - 4x = -2

Mathematics
1 answer:
lidiya [134]3 years ago
6 0
<span>Solve this equation by completing the square. 3x^2 - 4x = -2
</span>Step 1:
Divide by the leading coefficient (coef. of x^2), and transpose.
(3x^2 - 4x)/3 = -2/3
x^2-2(2/3)x = -2/3
Complete the square, 
(x-2/3)^2 - 4/9 = -2/3
Solve for (x-2/3)
(x-2/3)^2= -2/3 + 4/9 = -2/9
x-2/3 = ± (√2)i/3
Solve for x
x=2/3± (√2)i/3
or
x=(2±(√2)i)/3

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