the square of the larger of the 2 consecutive even nos exceeds the square of the smaller by 36. find the nos
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First we must understand that consecutive even numbers are 2 apart from each other. So if the smaller one is x then the next one would be x+2. Or if the larger one is x then the next one down is x-2. Either of these pairs of expressions will work. I prefer to work with additions over subtractions so I'll go with the first pair:
Smaller even number: x
Next larger even number: x+2
Next we translate "The square of the greater of two consecutive even numbers exceeds the square of the smaller by 36" into a mathematical sentence (i.e. an equation).
"The square of the greater" translates into . Note the parentheses. Both the x and the 2 are part of the greater number. So if we square the greater number we have to square the whole thing, not just part of it. (If you're confused about when to use parentheses, then just use them all the time!)
"the square of the smaller" translates into
The "exceeds ... by 36" translates into +36
Translating the whole sentence we get:
(x+2)square =x2+36
hope it helps
mark as brainliest plzzz
Smaller even number: x
Next larger even number: x+2
Next we translate "The square of the greater of two consecutive even numbers exceeds the square of the smaller by 36" into a mathematical sentence (i.e. an equation).
"The square of the greater" translates into . Note the parentheses. Both the x and the 2 are part of the greater number. So if we square the greater number we have to square the whole thing, not just part of it. (If you're confused about when to use parentheses, then just use them all the time!)
"the square of the smaller" translates into
The "exceeds ... by 36" translates into +36
Translating the whole sentence we get:
(x+2)square =x2+36
hope it helps
mark as brainliest plzzz
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