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: $15v^2 - 11v = -2$

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

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

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

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 $v = \frac{1}{5}$