Question

Find the Value(s) for x.x (3x + 17) - 12 = 680​

Answer 1

Answer:

$\boxed{\bold{x=\frac{-17+\sqrt{8593}}{6},\:x=\frac{-17-\sqrt{8593}}{6}}}$

Explanation:

x(3x + 17) - 12 = 680

$\bold{3x^2+17x-12=680}$

$\bold{3x^2+17x-12-680=680-680}$

$\bold{3x^2+17x-692=0}$

Solve With Quadratic Formula

$\bold{\frac{-17+\sqrt{17^2-4\cdot \:3\left(-692\right)}}{2\cdot \:3}: \ x=\frac{-17-\sqrt{8593}}{6}}$

$\bold{\frac{-17-\sqrt{17^2-4\cdot \:3\left(-692\right)}}{2\cdot \:3}: \ x=\frac{-17+\sqrt{8593}}{6}}$