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Mathematics 8 Online
OpenStudy (anonymous):

please help!!!

OpenStudy (anonymous):

OpenStudy (danjs):

put it in standard form first ax^2 + bx + c = 0 c is negative 5, not plus 5

OpenStudy (anonymous):

okay

OpenStudy (anonymous):

so the mistake starts from the first step?

OpenStudy (michele_laino):

hint: your equation is: \[{x^2} + 4x - 5 = 0\]

OpenStudy (anonymous):

i got that part:)

OpenStudy (anonymous):

a=1,b=4,c=-5

OpenStudy (michele_laino):

yes! the right answer is: \[\begin{gathered} x = \frac{{ - 4 \pm \sqrt {{{\left( { - 4} \right)}^2} - 4 \times 1 \times \left( { - 5} \right)} }}{{2 \times 1}} = \hfill \\ \hfill \\ = \frac{{ - 4 \pm \sqrt {16 + 20} }}{2} = \frac{{ - 4 \pm 6}}{2} = ...? \hfill \\ \end{gathered} \]

OpenStudy (anonymous):

1 and -5

OpenStudy (michele_laino):

that's right!

OpenStudy (anonymous):

but i need to explain where the student went wrong

OpenStudy (anonymous):

does she go wrong since the beginning because she put 5 instead of -5?

OpenStudy (michele_laino):

the student was wrong, since the coefficient c is -5 not +5

OpenStudy (michele_laino):

namely: \[\Large c = - 5\] before applying the formula: \[\Large x = \frac{{ - b \pm \sqrt {{b^2} - 4 \times a \times c} }}{{2 \times a}}\] we have to write our quadratic equation, in this form: \[\Large a{x^2} + bx + c = 0\]

OpenStudy (anonymous):

okay, thanks so much!! :)

OpenStudy (michele_laino):

thanks!

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