Factor then solve. 3x2+14x+8=0
1 answer:
Answer:
x = - 4, x = -
Step-by-step explanation:
Given
3x² + 14x + 8 = 0
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term
product = 3 + 8 = 24 and sum = + 14
The factors are + 12 and + 2
Use these factors to split the x- term
3x² + 12x + 2x + 8 = 0 ( factor the first/second and third/fourth terms )
3x(x + 4) + 2(x + 4) = 0 ← factor out (x + 4) from each term
(x + 4)(3x + 2) = 0
Equate each factor to zero and solve for x
x + 4 = 0 ⇒ x = - 4
3x + 2 = 0 ⇒ 3x = - 2 ⇒ x = -
You might be interested in
Answer:
A. (2, 5)
Step-by-step explanation:
If B and B' have symmetry, then P is a midpoint between those points. We can determinate the location of point P by using the midpoint equation, whose vectorial form is:
(Eq. 1)
If we know that and
, then the location of P is:
Which corresponds to option A.
Answer:
9.74 feet
Step-by-step explanation:
the formula for finding a hypotenuse is . We can rearrange that to get:
. So: 49 + b^2 = 144. We get the square root of 95, AKA around 9.74.