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Mathematics 9 Online
OpenStudy (anonymous):

Can somebody please help me..

OpenStudy (anonymous):

Question please!!!!!!!

OpenStudy (anonymous):

How many real numbers does this equation have? y+=2x^2-20x+50

OpenStudy (anonymous):

\[\huge y+=2x^2-20x+50\] let us compare it with \[ \huge y+=ax^2+bx+c\] we find; a= 2, b= -20, c= 50 Let us use quadratic formula to solve it; \[\huge y = \frac {-b \pm \sqrt{b^2-4ac}}{2a}\] Substituting the above values in the formula we find: \[\huge y = \frac {-(-20) \pm \sqrt{(-20)^2-4 \times 2 \times 50}}{2 \times 2}\] \[\huge y = \frac {20 \pm \sqrt{400-400}}{4}\] \[\huge y = \frac {20 \pm \sqrt{0}}{4}\] \[\huge y = \frac {20 \pm 0}{4}\] \[\huge y = \frac {20 }{4} =5 \] Since we hav got only one solution. hence the given eq has only one real solution i.e. real number. @selenaannerios

OpenStudy (anonymous):

Thats what i thought, but i wasnt sure. thank you!

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