Answer to Question #162131 in Algebra for Will

Question

Solve using the quadratic formula:

x² + 4x + 3 = 0

Answer 1

For the quadratic equation

$ax^2+bc+c=0$

the formula for the roots is

$x=\frac{-b± \sqrt{b^2-4ac}}{2a}$

For. $x^2+4x+3=0$

$a=1, b=4, c= 3$

Hence

$x=\frac{-4± \sqrt{4^2-(4×1×3)}}{2×1}$

$x=\frac{-4± \sqrt{16-12}}{2}$

$x=\frac{-4± \sqrt{4}}{2}$

$x=\frac{-4±2}{2}$

$x$₁$=-1$

$x$ ₂$=-3$

Hence

$x$ is either -1 or -3