Answer:x= -4 and -6
Explanation:
To solve the equation x²+10x+24=0, we need to factorize. Factorizing this using the general formula,
x = -b+/-√b²-4ac/2a
Generally, quadratic equation are of the form ax²+bx+c=0
Comparing the coefficients;
a= 1, b=10 and c=24
Substituting this into the general formula,
x = -10+/-√10²-4(1)(24)/2(1)
x = -10 +/-√100-96/2
x = -10 +/-√4/2
x = -10 +/- 2/2
x = -10 + 2/2 and -10-2/2
x = -8/2 and -12/2
x = -4 and -6