let the two numbers be x and y
From the first sentence,
xy=24
x+y=10
Then make y in equation 2 the subject of the formular and substitute in equation 1
x+y=10
y=10-x
substituting in equation 2
x(10-x)=24
open the bracket
10x-x^2=24
=-x^2+10x=24
Transfer the constant to the left hand side
=-x^2+10x-24=0
Then factorise completely
Look at the photo above
Answer:
Step-by-step explanation:
Factor the expression by first finding a GCF. Each term has the y variable and this can be pulled out as the GCF.
To further factor the expression break the polynomial into two binomials.
To factor into two binomials, find factors that multiply to -5 and add to -4.
-5 and 1 are factors and these make the binomials .
The final factorization is