Question

Solve the equation 8y2 – 2y - 1 = 0.​

Answer 1

The answer is: y= -1/4,1/2

Answer 2

Hi there! :)

Answer:

`\huge\boxed{y = -1/4, 1/2.}`

Given the equation:

8y² - 2y - 1 = 0

Find two numbers that multiply into -1 and sum up to -2. Remember, the 8 as the leading coefficient must be taken into account.

After guessing and checking, we get:

(4y + 1) (2y - 1) = 0

Use the Zero-Product Property to solve for y:

4y + 1 =

4y = -1

y = -1/4

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2y - 1 = 0

2y = 1

y = 1/2

Therefore, solutions to this equation are:

y = -1/4, 1/2.