Question

F(x)= 3x^2+5x-8. Solve the quadratic equation

Answer 1

`\bold{x_1=1\ ,\quad x_2=-\frac83}`

Explanation:

`3x^2+5x-8=0\quad\implies\quad a=3\,,\ b=5\,,\ c=-8\\\\x=(-5\pm√(5^2-4(3)(-8)))/(2\cdot3)=(-5\pm√(25+96))/(6)=(-5\pm√(121))/(6)\\\\ x_1=(-5+11)/(6)=1\ ,\qquad x_2=(-5-11)/(6)=\frac{-16}6=-\frac83`