Answer: 15x² + 2x + 4
x = -2/3, 0, 1/2
Step-by-step explanation:
5x(3x + 2) - 4(2x - 1)
First, distribute:
15x² + 10x - 8x + 4
Combine like terms:
15x² + 2x + 4
This is your polynomial!
If you needed to solve for x, take your original factored polynomial and set each term equal to 0:
5x(3x + 2) - 4(2x - 1)
5x = 0
x = 0
3x + 2 = 0
3x = -2
x = -2/3
-4 = 0
No solution
2x - 1 = 0
2x = 1
x = 1/2
x = -2/3, 0, 1/2
Hope this helps!
Answer:
Impossible
Step-by-step explanation:
In 5x^2-4x+3=0, standard form, substitute these values in the quadratic formula:
a = 5; b = -4; c = 3
The quadratic formula is
(ignore the weird capital A)
Substitute a b and c:
Simplify:
Because is the square root of a negative number, the answer would be imaginary.
Therefore, there are not solutions to this equation.
A solution is the same as the roots or zeroes, where the graph would cross the x-axis when graphed.
The graph never meets the x-axis. It looks like this:
8682 would be your answer.
Answer:
18 and 19
Step-by-step explanation:
Consecutive positive integers have a difference of 1 between them
let n and n + 1 be the 2 integers, then
n(n + 1) = 342, that is
n² + n = 342 ( subtract 342 from both sides )
n² + n - 342 = 0 ← quadratic equation in standard form
(n + 19)(n - 18) = 0 ← in factored form
Equate each factor to zero and solve for n
n + 19 = 0 ⇒ n = - 19
n - 18 = 0 ⇒ n = 18
However, n > 0 ⇒ n = 18 and n + 1 = 18 + 1 = 19
The 2 integers are 18 and 19