QUESTION 6

Solve the equation.
$v (15 v - 11) = - 2$
a) $v = \frac{2}{5}; v = \frac{1}{3}$
b) $v = 0; v = \frac{11}{15}$
c) $v = - \frac{2}{5}; v = - \frac{1}{3}$
d) $v = \frac{2}{5}; v = - \frac{1}{3}$
a..
b..
c..
d..

QUESTION 7

Answer

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Answer

Therefore, the correct answer is $v = \frac{2}{3}$ or $v = \frac{1}{5}$

Steps

Step 1 ：Expand the equation: $15 v^{2} - 11 v = - 2$

Step 2 ：Rearrange the equation: $15 v^{2} - 11 v + 2 = 0$

Step 3 ：Factor the quadratic equation: $(3 v - 2) (5 v - 1) = 0$

Step 4 ：Set each factor equal to zero: $3 v - 2 = 0$ or $5 v - 1 = 0$

Step 5 ：Solve for $v$ in each equation: $v = \frac{2}{3}$ or $v = \frac{1}{5}$

Step 6 ：Therefore, the correct answer is $v = \frac{2}{3}$ or $v = \frac{1}{5}$