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Q: What must be added to the binomial m2-12m to make it a perfect square trinomial?
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What must be added to 452664 to make it a perfect square?

Sqrt of 453664 is 672 and a bit.So next square is 673 squared, ie 452929, so 265 must be added.


What is y equals x2-18x plus 52 in vertex form?

y=x2-18x+52First off, this does not factor cleanly, but even if it did it would not help us. We must complete the square to yield a perfect-square trinomial (a trinomial that can be written in the form (x-a)2 where a is a real number.To do this, halve the coefficient of the single-x term (for this case, the term 18x) and square it.18/2=992=81The result of this process can be added to the two terms involving x to get a perfect square trinomial. For instance, the trinomial that would result would be:x2-18x+81=(x-9)2However, there is already 52 of that 81 that is needed present, so in reality, you only need to add 29 (81-52=29) to the right side of the equation to get a perfect-square trinomial. Whatever is done to one side of the equation must be done to the other side, so since you added 29 to the right side, you must add 29 to the left side, giving you:y+29=x2-18x+52+29y+29=x2-18x+81y+29=(x-9)2y=(x-9)2-29This is in vertex form, you can see that the vertex is at (9,-29)


What is the least number to be added to 3000 to make it a perfect square?

Try 25


What number must be added to the polynomial to complete the perfect square x2-24x?

144


When 96 is added to a perfect square another perfect square is obtained How many such pairs of perfect squares exist?

96 + 4 = 100 96 + 25 = 121 96 + 100 = 196 96 + 529 = 625

Related questions

Which of the following constants can be added to x2 - 10x to form a perfect square trinomial?

12


A definition of a perfect square trinomial?

A perfect square trinomial is looking for compatible factors that would fit in the last term when multiplied and in the second term if added/subtracted (considering the signs of each polynomials).* * * * *A simpler answer is: write the trinomial in the form ax2 + bx + c. Then, if b2 = 4ac, it is a perfect square.


What constants can be added to x2 - x to form a perfect square trinomial?

There are no FOLLOWING constants! The answer is 0.25


What constants can be added to x2 3x to form a perfect square trinomial?

2 1/4


What constants can be added to x2 - 3x to form a perfect square trinomial?

5


What must be added to 452664 to make it a perfect square?

Sqrt of 453664 is 672 and a bit.So next square is 673 squared, ie 452929, so 265 must be added.


What least number must be added to 5607 to make the sum a perfect square find theperfect square of its square root?

5607 + 18 = 5625, a perfect square. The perfect square of a square root is the number you started with.


What is y equals x2-18x plus 52 in vertex form?

y=x2-18x+52First off, this does not factor cleanly, but even if it did it would not help us. We must complete the square to yield a perfect-square trinomial (a trinomial that can be written in the form (x-a)2 where a is a real number.To do this, halve the coefficient of the single-x term (for this case, the term 18x) and square it.18/2=992=81The result of this process can be added to the two terms involving x to get a perfect square trinomial. For instance, the trinomial that would result would be:x2-18x+81=(x-9)2However, there is already 52 of that 81 that is needed present, so in reality, you only need to add 29 (81-52=29) to the right side of the equation to get a perfect-square trinomial. Whatever is done to one side of the equation must be done to the other side, so since you added 29 to the right side, you must add 29 to the left side, giving you:y+29=x2-18x+52+29y+29=x2-18x+81y+29=(x-9)2y=(x-9)2-29This is in vertex form, you can see that the vertex is at (9,-29)


What should be added toY plus 1 to make it a perfect square?

(Y2 + Y) added to (Y + 1) will always give a perfect square [of (Y + 1)2].


What is the least number to be added to 1500 to make it a perfect square?

21


What number should be added to a number to get a perfect square?

Because numbers are infinite, there is an infinite number of answers. e.g. What number should be added to 2 to make a perfect square? 2+2=4 (a perfect square) 2+7=9 (a perfect square) 2+14=16 (a perfect square) 2+23=25 (a perfect square) etc... Did you have a specific number in mind.


What is the least number to be added to 3000 to make it a perfect square?

Try 25