Question

What are the roots of this quadratic equation? 3x^2+10=4x

Answer 1

Step-by-step explanation:

The root of an equation is when x=0.

We need to rewrite this as 3x²-4x+10=0.

The quadratic formula is

(-b+or-sqrt(b²-4ac))/2a

so 4+or-sqrt(16-120)/2a

since the sqrt can no be negative this answer will have imaginary numbers.

(4+2i sqrt(26))6 and (4-2i sqrt(26))6

simplified is

x=(2+i sqrt(26))/3 and x=(2-i sqrt(26))/3