Question

for the few questions in this set, you will see the quadratic formula. soon, you will need to answer the questions without this reminder.
$x = \frac{ -b \pm \sqrt{b^2 - 4ac} }{ 2a }$
for $ax^2 + bx + c = 0$
solve for x. write both solutions, separated by a comma.
$8x^2 - 7x - 1 = 0$
enter the correct answer.

Explanation:

Step1: Identify a, b, c values

From $8x^2 -7x -1=0$, $a=8$, $b=-7$, $c=-1$

Step2: Calculate discriminant

$\sqrt{b^2-4ac} = \sqrt{(-7)^2 - 4(8)(-1)} = \sqrt{49 + 32} = \sqrt{81} = 9$

Step3: Apply quadratic formula

First solution: $x = \frac{-(-7) + 9}{2(8)} = \frac{16}{16}$
Second solution: $x = \frac{-(-7) - 9}{2(8)} = \frac{-2}{16}$

Step4: Simplify solutions

First solution: $1$, Second solution: $\frac{-1}{8}$

Answer:

$1, -\frac{1}{8}$