Problem

Solve using the quadratic formula.
\[
7 q^{2}-5 q-4=0
\]

Answer

Expert–verified
Hide Steps
Answer

\(q = \frac{5 \pm \sqrt{89}}{14}\)

Steps

Step 1 :\(q = \frac{-b \pm \sqrt{b^{2} - 4ac}}{2a}\)

Step 2 :\(q = \frac{5 \pm \sqrt{(-5)^{2} - 4 \cdot 7 \cdot (-4)}}{2 \cdot 7}\)

Step 3 :\(q = \frac{5 \pm \sqrt{89}}{14}\)

link_gpt