Question

solve for d.
d² + 24d + 23 = 0
write each solution as an integer, proper fraction, or improper fraction in simplest form. if there are multiple solutions, separate them with commas.
d =

Explanation:

Step1: Factor the quadratic equation

We need two numbers that multiply to 23 and add up to 24. The numbers are 1 and 23. So, $d^{2}+24d + 23=(d + 1)(d+23)=0$.

Step2: Set each factor equal to zero

If $(d + 1)(d + 23)=0$, then either $d+1=0$ or $d + 23=0$.
For $d+1=0$, we get $d=-1$.
For $d + 23=0$, we get $d=-23$.

Answer:

$d=-1,-23$