Question

Practice writing and solving quadratic equations.

Assignment
The product of two consecutive integers is 72. The equation x(x + 1) = 72 represents the situation, where x
represents the smaller integer. Which equation can be factored and solved for the smaller integer?
O2 + x - 72 = 0
O2 + x + 72 = 0
x2 + 2x - 72 = 0
x2 + 2x + 72 = 0

Answer 1

`\boxed{\sf \ \ \ x^2 + x -72 = 0 \ \ \ }`

Explanation:

Hello,

We need to use the distributive property which means that for a, b and c real numbers a(b+c)=ab+ac

So here we can write

`x(x+1)=72\\<=> x*x+x*1=72\\<=> x^2 + x -72 = 0\\`

do not hesitate if you have any question