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McGraw Hill Integrated II, 2012 View details

1. Solving Quadratic Equations by Factoring

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Exercise 45 Page 174

The difference between the consecutive even numbers is 2. Begin by assuming x is one of the even numbers. With this, define the other one and write an equation that models the situation.

24, 26 or -26, -24

Practice makes perfect

The difference between the consecutive even numbers is 2. If we assume that x is one of the even numbers, the other one can be x+ 2. Given that the product of them is 624, let's write an equation that models the situation. x( x+ 2)=624Now we can solve the equation for x.

x(x+2)=624

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Simplify

Distr

Distribute x

x^2+2x=624

SubEqn

LHS-624=RHS-624

x^2+2x-624=0

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Factorize

WriteSum