Solve the following quadratic equation using the quadratic formula and then choose the correct solution set.
6x^2 - 7x + 2 = 0
a) {-1/2,2/3}
b) {1/2,2/3}
c) {1/2,3/2}
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OpenStudy (mertsj):
quadratic formula is:
\[x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}\]
OpenStudy (mertsj):
In your problem, a = 6, b = -7, c = 2
hero (hero):
I don't know why they ask to solve by quad formula when it is already factorable. That sort of defeats the purpose.
OpenStudy (anonymous):
I keep getting weird answers
OpenStudy (anonymous):
is it b?
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OpenStudy (mertsj):
Post your work and I will trouble shoot it.
OpenStudy (mertsj):
Yes. It is b
OpenStudy (mertsj):
Good job.
OpenStudy (anonymous):
aright thanks. sry I didn't know how to type my work out
OpenStudy (mertsj):
np
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hero (hero):
You can also factor it
6x^2 - 7x + 2 = 0
6x^2 - 4x - 3x + 2 = 0
2x(3x - 2) - 1(3x - 2) = 0
(3x - 2)(2x - 1) = 0
3x - 2 = 0
2x - 1 = 0
x = 2/3
x = 1/2
For your purposes, however, quad formula might be easier for you.