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Mathematics 10 Online
OpenStudy (anonymous):

how many solutions are there for 5x^2 + 7x -4 =0

OpenStudy (mertsj):

can you calculate the discriminant?

OpenStudy (anonymous):

use the quadratic formula to find the solutions. then check to see if they satisfy the equation.

OpenStudy (anonymous):

number of solutions = highest defree of the polynomial

OpenStudy (anonymous):

it does not say number of "unique" solutions

OpenStudy (anonymous):

and neither does it say "real solutions"

OpenStudy (anonymous):

7^2 - 4 (5) (-4)

OpenStudy (anonymous):

7^2 - 4 (5) (-4) discriminant

OpenStudy (mertsj):

Yes. So that would be 49+80 or 129 which is positive. So there are 2 real solutions.

OpenStudy (anonymous):

thanks

OpenStudy (mertsj):

yw

OpenStudy (anonymous):

what are the approximate solutions of 2x^2 - x + 10=0?

OpenStudy (mertsj):

\[x=\frac{1\pm \sqrt{1^2-4(2)(10)}}{4}\]

OpenStudy (mertsj):

\[x=\frac{1\pm \sqrt{79}i}{4}=.25\pm 2.2i\]

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