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Vlada [557]
3 years ago
8

A number is one more than twice the other number. their product is 36. what are the numbers​

Mathematics
2 answers:
Evgen [1.6K]3 years ago
8 0

Answer:

Possible solution 1: -4.5 and -8

Solution 2: 4 and 9.

Step-by-step explanation:

Let the two numbers be a and b.

One of them (let it be b) is 1 more than twice the other one. In other words,

b= 1+ 2a.

Their product is 36. Or:

a(b) = 36.

Substitute b:

a(1+2a) = 36

2a^2 + a = 36

2a^2 + a - 36 = 0

This is now a quadratic. We can factor to solve it. Find two numbers that equals 2(-36)=-72 and add to 1. We can use 9 and -8. Thus:

2a^2 - 8a + 9a - 36 = 0

2a(a - 4) +9(a-4) = (2a+9)(a-4) = 0

So, a = -9/2 = -4.5 <em>or</em> a = 4.

Thus, b can equal 1 + 2(-4.5) = -8 <em>or</em> 1 + 2(4) = 9

Bad White [126]3 years ago
7 0
The answer is 4 and 9 hope this helps :)
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