Question

3z^2-10z+8 please answer this question fast.​

Answer 1

Your answer is here..

z = 4/3 , 2

Answer 2

Solution:

Given equation:

$3z {}^{2} - 10z + 8 = 0$

On comparison with

$ax {}^{2} + bx + c = 0$

a=3,b=-10 and c=8

Discriminant,D

$b {}^{2} - 4ac \\ \\ = ( - 10) {}^{2} - 4(3)(8) \\ \\ = 100 - 96 \\ \\ = 4$

Now,

$z = \frac{ - b \pm \: \sqrt{D} }{2a} \\ \\ = \: \frac{ - ( - 10) \pm \: \sqrt{4} }{2(3)} \\ \\ = \frac{10 \pm \: 2}{6} \\ \\ = \frac{10 + 2}{6} \: \: or \: \frac{10 - 2}{6} \\ \\ = 2 \: or \: \frac{4}{3}$

The roots of the given equation are 2 and 4/3