Question

The product of two consecutive even integers is 528. The queadratic
equation corresponding to the above statement is-
a- 2x (2x+1) = 528
b-(1+x)2x = 528
C- x(x+2) = 528
d- 2x (2x+4) = 528
​

Answer 1

Answer:

C

Step-by-step explanation:

C Is the answer

x is smaller integer

x+2 is consecutive even integer to x

Answer 2

The quadratic equation is x(x + 2) = 528

Given :

The product of two consecutive even integers is 528

To find :

The quadratic equation corresponding to the above statement is

a. 2x (2x + 1) = 528

b. (1 + x)2x = 528

c. x(x + 2) = 528

d. 2x(2x + 4) = 528

Solution :

Step 1 of 2 :

Write down two consecutive even integers

Let first even integer is x

Then next even integer is obtained by adding 2 with x

So the next even integer is x + 2

Step 2 of 2 :

Form the equation

Here the given statement is product of two consecutive even integers is 528

By the given condition

x(x + 2) = 528

Which is the required Quadratic equation

Hence the correct option is c. x(x + 2) = 528

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