# Find 2 numbers whose sum is 40 and whose product is 300 SHOW YOUR SOLUTIOPN. OUR TOPIC IS ABOUT QUADRATIC EQUATIONS :)

2
by kisseyofficial

2015-09-02T21:38:22+08:00
10 and 30
10x30=300
10+30= 40
how?
how did you come up with 10 and 30?
• Brainly User
2015-09-02T22:31:01+08:00

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X + y = 40
In terms of x:
x + y = 40
y = 40 - x

Let first number = x
second number = 40-x
product of the two numbers = 300

Equation
(x) (40-x) = 300
40x - x² = 300

Equate to zero:
-x² + 40x - 300 = 0

Solve by factoring:
-(x-10) (x-30) = 0

-x + 10 = 0            x - 30 = 0
- x = -10                x = 30
x = 10

The two numbers are:
If x = 10
Then the two numbers are:
first number x = 10
second number  (40-10) = 30

If x = 30
Then the two numbers are:
first number = 30
second number (x-30) = 10

Even if interchanged, the two numbers are 10 and 30

To check:
10 + 30 = 40
(10) (30) = 300
thank you! :)
You're welcome, Kisseyofficial