Formule quadratique Calculator

Here, we show you a step-by-step solved example of formule quadratique. This solution was automatically generated by our smart calculator:

Find the roots of the equation using the Quadratic Formula

Factor the trinomial $x^2+6x+8$ finding two numbers that multiply to form $8$ and added form $6$

Rewrite the polynomial as the product of two binomials consisting of the sum of the variable and the found values

Break the equation in $2$ factors and set each factor equal to zero, to obtain simpler equations

Solve the equation ($1$)

Apply the formula: $x+a=b$$\to x+a-a=b-a$, where $a=2$, $b=0$, $x+a=b=x+2=0$ and $x+a=x+2$

Apply the formula: $x+a+c=b+f$$\to x=b-a$, where $a=2$, $b=0$, $c=-2$ and $f=-2$

Solve the equation ($2$)

Apply the formula: $x+a=b$$\to x+a-a=b-a$, where $a=4$, $b=0$, $x+a=b=x+4=0$ and $x+a=x+4$

Apply the formula: $x+a+c=b+f$$\to x=b-a$, where $a=4$, $b=0$, $c=-4$ and $f=-4$

Combining all solutions, the $2$ solutions of the equation are