First, see if x^2 is independent of its co-efficient. In this case, it isn't.
Second, see if you could divide the equation by the co-efficient of x^2 to make x^2 an independent variable. Again, not possible, since the coefficient of x would become -3/2. It could create confusion again.
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Now, moving on, since the above two conditions do not fit our criteria, we can do the following.
Multiply the coefficient of x^2 and the constant (6). We get, 6 * 2 = 12.
Since the factor, -3x is in question, see what factors of 12 give you a sum of -3. This doesn't work either.
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Therefore, you can now use the quadratic formula and solve.
well basically thats a quadratic equaion. so you solve by using factors:
2x^2-3x+6=0
(2x )(x ) <-- using brackets you find the factors, 2x times x gives us 2x^2. we need to now find the factors that will add or subtract to give -3x and multiply together to give us 6.
But it turns out that this isn't possible by factors so we need to use the quadratic for this:
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Verified answer
2x^2 – 3x + 6 = 0
First, see if x^2 is independent of its co-efficient. In this case, it isn't.
Second, see if you could divide the equation by the co-efficient of x^2 to make x^2 an independent variable. Again, not possible, since the coefficient of x would become -3/2. It could create confusion again.
====================
Now, moving on, since the above two conditions do not fit our criteria, we can do the following.
Multiply the coefficient of x^2 and the constant (6). We get, 6 * 2 = 12.
Since the factor, -3x is in question, see what factors of 12 give you a sum of -3. This doesn't work either.
=====================
Therefore, you can now use the quadratic formula and solve.
x = [-b +/-sqrt. (b^2 - 4ac)] / 2a
a = 2, b = -3, c = -6.
x = [-(-3) +/- sqrt. ((-3^2) - 4*2*6)] / 2*2
= [3 +/- sqrt. (9 - 48)] / 4
= (3 +/- sqrt (-39)) / 4
x = (3 + sqrt 39i) / 4
x = (3 - sqrt 39i) / 4
i = sqrt (-1).
Imaginary roots.
R
well basically thats a quadratic equaion. so you solve by using factors:
2x^2-3x+6=0
(2x )(x ) <-- using brackets you find the factors, 2x times x gives us 2x^2. we need to now find the factors that will add or subtract to give -3x and multiply together to give us 6.
But it turns out that this isn't possible by factors so we need to use the quadratic for this:
http://upload.wikimedia.org/wikipedia/en/math/8/e/...
just input the values of a=2 b= -3 and c=6, and then solve. :)