Question

What are the solutions to the quadratic equation below in factored form?

Answer 1

Answer:

-4/3 or 1/2

Step-by-step explanation:

Explanation::::::::

Answer 2

Answer:

$\cfrac{-4}{3}$ and $\cfrac{1}{2}$.

Step-by-step explanation:

Equation:

$\rm \: \: (2x - 1)(3x + 4) = 0$

Solution:

Set factors equal to zero,that is:

$(2x - 1) = 0 \: \: \: \: \: \: \: \: \: \: \: ...(1)$

$(3x + 4) = 0 \: \: \: \: \: \: \: \: \: \: \: \: ...(2)$

Solving for equation 1:

• $2x - 1 = 0$
• $2x = 0 + 1$
• $2x = 1$

• $\boxed{x = \cfrac{ 1}{2} }$

Solving for equation 2:

• $3x + 4 = 0$
• $3x = 0 - 4$
• $3x = - 4$

• $\boxed{x = \cfrac{ - 4}{3} }$

Hence,the solutions to the quadratic equation in factored form is $\cfrac{-4}{3}$ and $\cfrac{1}{2}$.

$\rule{225pt}{2pt}$

Good luck on your assignment!