Answer: 5, because if x=5 then the denominator would be equal to 0 which is not possible.
The slope of any line on the x-y plane is expressed as the rise divided by the run - the "rise" here is the change in the y coordinate, and the "run" is the change in the x coordinate. Given -4 and 8 as your y coordinates in this problem, and 3 and -1 as your x coordinates, how can you find the change - or difference - in each? Once you have those, you'll just need to put the
Answer:
see explanation
Step-by-step explanation:
Divide through by 2
2a² - 5a + 3 = 0
To factor the quadratic
Consider the factors of the product of the coefficient of the a² term and the constant term which sum to give the coefficient of the x- term
product = 2 × 3 = 6 and sum = - 5
The factors are - 2 and - 3
Use the factors to split the a- term
2a² - 2a - 3a + 3 = 0 ( factor the first/second and third/fourth terms )
2a(a - 1) - 3(a - 1) = 0 ← factor out (a - 1)
(a - 1)(2a - 3) = 0
Equate each factor to zero and solve for a
a - 1 = 0 ⇒ a = 1
2a - 3 = 0 ⇒ 2a = 3 ⇒ a =