Question

안녕하세요
If one of the factors ofx²4-20 (x+5), then find the other factor​

Answer 1

Answer:

Final answer will be X -4

Step-by-step explanation:

Let (x−a) be the other factor.

Now, (x+5),(x−a) are factors of the quadratic equation x2+x−20

Thus,

(x+5)(x−a)=x2+x−20

=>x2−ax+5x−5a=x2+x−20

=>x(5−a)−5a=x−20

Now, considering the co-efficients of x on the both sides,

5−a=1

=>a=5−1=4

Therefore the other factor is (x−4)

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