Question

Use the quadratic formula to solve. Express your answer in simplest form.
15a^2 −8a −3 = −4

Answer 1

a = 1/3, a = 1/5

Explanation:

15a^2 - 8a - 3 = -4

15a^2 - 8a + 1 = 0

Note: There should be a plus or minus sign (±) after the eight in the equation below, but I couldn't figure out how to put it into the fraction.

`a = \frac{8 + \sqrt{(-8)^(2) - 4(15)(1)}}{2(15)}`

`a = (8 + √(64 - 60))/(30)`

`a = (8 + √(4))/(30)`

`a = (8 + 2)/(30)` ,
`a = (8 - 2)/(30)`

`a = (10)/(30)` ,
`a = (6)/(30)`

`a=(1)/(3), a=(1)/(5)`