if the product of two consecutive even integer is increased by 2 ,then the result is 56. what are the integers
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if the product of two consecutive even integer is increased by 2 ,then the result is 56. what are the integers
with step by step
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Step-by-step explanation:
Let the smaller number be X,
Then the bigger number= X+1
Therefore,
X(X+1)=56
X^2 +X=56
X^2 + X -56=0.
Solving the above quadratic equation:
X^2 +8X-7X-56=0
X(X+8)-7(X+8)=0
(X+8)(X-7)=0
X+8=0 or X-7=0
X=-8 or X=7
When X = -8, X+1=-7
Thus, sum = -8+(-7)=-8–7=-15.
Also, when X =7, X+1=8
Thus, sum =7+8=15.