Question

Solve:

a. the quadratic equation

b. the quadratic inequality

Answer 1

For example:

a.

$6x^2-7x+2=0$

$x=\frac{7\pm \sqrt{49-48}}{12}$

$x_1=1/2,\ x_2=2/3$

b.

$6x^2-7x+2<0$

$6x^2-7x+2=6(x-1/2)(x-2/3)=(2x-1)(3x-2)$

$(2x-1)(3x-2)<0$

$x\isin (1/2,2/3)$