Question

Use the quadratic formula to solve the equation.
8x² - 7x + 1 = 0

Answer 1

`\displaystyle x=(7\pm√(17) )/(16)`

Explanation:

We will use the given quadratic formula and equation to substitute. We substitute values with the equation form o = ax² + bx + c.

`\displaystyle x=(-b\pm√(b^2-4ac) )/(2a)`

`\displaystyle x=(7\pm√((-7)^2-4(8)(1)) )/(2(8))`

Lastly, we will simplify this equation until it matches one of the given answer options. We will square -7 and multiply -4(8)(1) and 2(8).

`\displaystyle x=(7\pm√((-7)^2-4(8)(1)) )/(2(8))`

`\displaystyle x=(7\pm√(49-32) )/(16)`

Lastly, we will subtract 32 from 49. This is the last answer option.

`\displaystyle x=(7\pm√(17) )/(16)`