Question

If one of the roots of equation 3x²-5x+m=0 is 8. Find the other root
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Answer 1

Answer:

 $x_{2}$ = - $\frac{19}{3}$ = -6$\frac{1}{3}$

Step-by-step explanation:

3x² - 5x + m = 0 and $x_{1}$ = 8 , $x_{2}$ = ?

If $x_{1}$ = 8 is one of the root of given equation , and because $x_{1}$ + $x_{2}$ = - $\frac{b}{a}$ , $x_{1}$ × $x_{2}$ = $\frac{c}{a}$ , then

8 + $x_{2}$ = - $\frac{-5}{3}$ ===> $x_{2}$ = $\frac{5}{3}$ - 8 = - $\frac{19}{3}$ = - 6$\frac{1}{3}$

8 × ( - $\frac{19}{3}$ ) = $\frac{m}{3}$ ===> m = - 152