# SOLUTION: Question: Solve: {{{6x^2+5x<4}}} How do i solve this? Do i need a chart?

Algebra ->  Algebra  -> Inequalities -> SOLUTION: Question: Solve: {{{6x^2+5x<4}}} How do i solve this? Do i need a chart?      Log On

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 Click here to see ALL problems on Inequalities Question 92719: Question: Solve: How do i solve this? Do i need a chart?Answer by scott8148(6628)   (Show Source): You can put this solution on YOUR website!find the roots of the equality 6x^2+5x=4 ... 6x^2+5x-4=0 ... factoring gives (3x+4)(2x-1)=0 ... so the roots are -3/4 and 1/2 the roots are the "boundry points" between solutions ... in this case, the three ranges are <-3/4, between -3/4 and 1/2, and >1/2 test a range by choosing a value in it ... 0 is between -3/4 and 1/2 ... 6(0^2)+5(0)<4 ... 0<4 so x must be between -3/4 and 1/2 testing the other ranges will show no solution; this is because the "boundry points" are between solutions and non-solutions (-3/4) < x < (1/2)