Answer:
x = 1 / 3
x = -1.5
Step-by-step explanation:
First move everything onto one side.
6x^2 + 7x - 3 = 0
Divide by 6:
x^2 + 7/6x - 0.5 = 0
Now, you can move the 0.5 to the other side because it is determined that this is not factorable.
x^2 + 7/6x = 0.5
Now you have to complete the square.
Take 1 / 2 of 7 / 6 and square it.
49 / 144
x^2 + 7/6x + 49/144 = 0.5 + 49/144
(x + 7 / 12)^2 = 121 / 144
Square root:
x + 7 / 12 = ±11 / 12
x = 1 / 3, x = -1.5
The answer is 6.601, and therefore, the second option.
Answer:
If you would like to write a * b + c in simplest form, you can do this using the following steps:a = x + 1b = x^2 + 2x - 1c = 2xa * b + c = (x + 1) * (x^2 + 2x - 1) + 2x = x^3 + 2x^2 - x + x^2 + 2x - 1 + 2x = x^3 + 3x^2 + 3x - 1The correct result would be x^3 + 3x^2 + 3x - 1.
Step-by-step explanation:
-10 + a = 6a - 7a
Rearrange the left hand side
a - 10 = 6a - 7a
Simplify 6a - 7a
a - 10 = -a
Add a on both sides
2a - 10 = 0
Add 10 on both sides
2a = 10
Divide by 2 on both sides
a = 5
