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Mathematics 7 Online
OpenStudy (cookiemonster2412):

10x^2+9=x

OpenStudy (cookiemonster2412):

@jim_thompson5910

jimthompson5910 (jim_thompson5910):

were you able to get started?

OpenStudy (cookiemonster2412):

no

jimthompson5910 (jim_thompson5910):

the first step is to get 10x^2+9=x into standard form

jimthompson5910 (jim_thompson5910):

so we have to get it into ax^2 + bx + c = 0 form

jimthompson5910 (jim_thompson5910):

we do so by subtracting x from both sides. 10x^2+9=x 10x^2+9-x=x-x 10x^2 - x + 9 = 0

jimthompson5910 (jim_thompson5910):

10x^2 - x + 9 = 0 is really 10x^2 + (-1)x + 9 = 0 it is in the form ax^2 + bx + c = 0 where a = 10 b = -1 c = 9 now use the quadratic formula to solve

jimthompson5910 (jim_thompson5910):

what do you get?

OpenStudy (cookiemonster2412):

theres no solution

jimthompson5910 (jim_thompson5910):

what did you get for the discriminant?

OpenStudy (cookiemonster2412):

discriminant?

jimthompson5910 (jim_thompson5910):

yes D = b^2 - 4ac

jimthompson5910 (jim_thompson5910):

basically the stuff under the square root

OpenStudy (cookiemonster2412):

(-1)^2-4*10*9

jimthompson5910 (jim_thompson5910):

good, D = -359 that is negative which means that there are no real solutions

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