Find the numbers whose sum is 5 and whose product is -50 write the ans

Nefissi8u

Nefissi8u

Answered question

2021-11-13

Find the numbers whose sum is 5 and whose product is -50 write the answer as integers or simplify fractions

Answer & Explanation

Opeance1951

Opeance1951

Beginner2021-11-14Added 26 answers

Step 1
Let the number are a and b.
According to the question;
sum =5⇒a+b=5 .........................(1)
product =−50⇒a⋅b=−50 ............(2)
Step 2
from eqn(1), put b=5−a∈eqn(2);
a⋅b=−50
⇒a(5−a)=−50
⇒5a−a2=−50
⇒0=a2−5a−50
⇒a2−5a−50=0
⇒a2−10a+5a−50=0
⇒a(a−10)+5(a−10)=0
⇒(a−10)(a+5)=0
⇒(a−10)=0 or (a+5)=0
a=10 or a=−5
put the values of a in eqn(1);
a+b=5
put a=10⇒10+b=5⇒b=−5
put a=−5⇒−5+b=5⇒b=10
Step 3
Hence, the required numbers are -5 and 10.

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