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Doss [256]
3 years ago
9

One number is 8 greater than another. The product of the numbers is 84. Find the numbers.

Mathematics
1 answer:
mario62 [17]3 years ago
5 0

Let x,y be the two numbers.

Given that one number is 8 greater than another.

Let x be the smaller number ans y be the greater number.

That is y=x+8. Let this be the first equation.

And also given that product of the two numbers is 84.

That is x × y = 84, let us plugin y=x+8 here.

x × (x+8) = 84

x²+ 8x -84 = 0.

x²+12x-4x-84 = 0

x(x+12)-4(x+12) =0

(x-4)(x+12)=0

That is x= 4 or -12.

<h3>If x=4 , y= 4+ 8 = 12</h3>

<h3>If x= -12, y= -12+8 = -4 </h3>

Hence two positive numbers corresponding to given conditions are 4,12.

And two negative numbers corresponding to given conditions are -12,-4.

Step-by-step explanation:

hope it may help you!!

please mark as brainlist please (´;︵;`)

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