Question

solve the equation my factorization method
3x² - 2x + 5 = 0​

Answer 1

Step-by-step explanation:

The standard quadratic equation has the form ax2+bx+c=0.

In our case, a=3, b=−2, c=5.

Now, find the discriminant using the formula D=b2−4ac: D=(−2)2−4⋅3⋅5=−56.

Since the discriminant is negative, there will be two complex roots. This means that the given quadratic equation has no real roots.

Find the roots of the equation using the formulas x1=(−b−√D)/2a and x2=(−b+√D)/2a

x1=(−(−2)−√−56)/2*3=1/3−√14i/3 and x2=(−(−2)+√−56)/2*3=1/3+√14i/3