Question

Donnie is solving the equation 2x2 = 27 + 3x with the quadratic formula.

What values should he use for a, b, and c

Answer 1

`2x^2 = 27 + 3x \\ \\2x2 -3x-27=0 \\ \\ a=2 , \ b = -3 , \ c=-27 \\ \\\Delta = b^(2)-4ac = (-3)^(2)-4*2*(-27)= 9+216 =225\\ \\x_(1)=(-b-√(\Delta ))/(2a) =(3-√(225))/(2*2)=(3-15)/(4) =(-12)/(4)= -3\\ \\x_(2)=(-b+√(\Delta ))/(2a) = (3+√(225))/(2*2)=(3+15)/(4) =(18)/(4)= (9)/(2)=4.5`