Question

Solve each equation with quadratic formula.2v2+12v-27=9v

Answer 1

`2v^2+12v-27=9v\ \ \ \ /-9v\\\\2v^2+3v-27=0\\\\a=2;\ b=3;\ c=-27\\\\\Delta=b^2-4ac\\\\\Delta=3^2-4\cdot2\cdot(-27)=9+216=225\\\\v_1=(-b-\sqrt\Delta)/(2a);\ v_2=(-b+\sqrt\Delta)/(2a)\\\\v_1=(-3-√(225))/(2\cdot2)=(-3-15)/(4)=(-18)/(4)=-4(1)/(2)\\\\v_2=(-3+15)/(2\cdot2)=(12)/(4)=3`


`2v^2+3v-27=0\\\\2(v+4(1)/(2))(v-3)=0\\\\Answer:v=-4(1)/(2)\ \vee\ v=3.`