Question

the product of two even numbers is 5328,then what is largest number

Answer 1

Let the two consecutive even no. be x and x+2.
According to given condition,
x(x+2)=5328
x^2+2x=5328
Now, solve the it using either middle term splitting or quadratic formula. If you still don't know the answer, comment and I will write it as well.

Answer 2

Answer:

-72 or 74

Step-by-step explanation:

Let the numbers be x and x+2

Since we are given that the product of two even numbers is 5328

So, A.T.Q

$(x)(x+2)=5328$

$x^2+2x-5328=0$

$x^2+74x-72x-5328=0$

$x(x+74)-72(x+74)=0$

$(x+74)(x-72)=0$

$x=-74,x = 72$

So, if x = -74

So, x+2 = -74+2=-72

So, largest number is -72

If x = 72

So, Largest number= x+2 =72+2=74