Notice that 9×2 is a perfect square, as (3x)2 = 9×2 and that 16 is a perfect square, as 42 = 16. However, the middle term, –24x is negative, so try 16 = (−4)2. In this case, the middle term is 2(3x)( −4) = −24x.
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Example | ||
Problem | Factor 4×2 – 36. | |
(2x + 6)(2x – 6) | Factor as (a + b)(a – b). | |
Answer | (2x + 6)(2x – 6) |
What must be added to 9x 2 24x 16 to make it a perfect square?, But according to 9x – 24x + 16 which is mentioned in the question, Here, it seems that the polynomial 9x – 24x + 15 is 225x²/64, i.e., (15x/8)² is subtracted from a perfect square. From this, we can find that when we add 225x²/64 to this polynomial, it becomes a perfect square. Thus the answer would be 225x²/64.
Furthermore, What must be added to 9x 2 24x 10 to make it a whole square?,
- Answer:
- To make given quadratic equation a whole number , we have to add 6 in the equation.. ( 3 x – 4 )²
- Step-by-step explanation:
- Now if we add 6 to the equation , it will become whole square as (a + b)²
- Hence to make given quadratic equation a whole number , we have to add 6 in the equation.. Answer.
Finally, What must be added to 9x 2 24x 16 to make it a perfect square?, But according to 9x – 24x + 16 which is mentioned in the question, Here, it seems that the polynomial 9x – 24x + 15 is 225x²/64, i.e., (15x/8)² is subtracted from a perfect square. From this, we can find that when we add 225x²/64 to this polynomial, it becomes a perfect square. Thus the answer would be 225x²/64.
Frequently Asked Question:
What must be added to 9×2 30x 22 to make it a whole square?
Answer: We must add 3 to make it a whole square. This is a perfect square.
What must be added to make a perfect square?
In order to be a perfect square, the constant term must be 25. Since it’s actually 21, we need to Add 4 to complete the square. What would we have to add to x2 – 4x + 5 to make it a perfect square?
What must be added to 9x 2 24x 10 to make it a whole square?
- Answer:
- To make given quadratic equation a whole number , we have to add 6 in the equation.. ( 3 x – 4 )²
- Step-by-step explanation:
- Now if we add 6 to the equation , it will become whole square as (a + b)²
- Hence to make given quadratic equation a whole number , we have to add 6 in the equation.. Answer.
How do you factor 9x 2 24x 16?
Notice that 9x2 is a perfect square, as (3x)2 = 9x2 and that 16 is a perfect square, as 42 = 16. However, the middle term, –24x is negative, so try 16 = (−4)2. In this case, the middle term is 2(3x)( −4) = −24x.
…
Example | ||
Problem | Factor 4×2 – 36. | |
(2x + 6)(2x – 6) | Factor as (a + b)(a – b). | |
Answer | (2x + 6)(2x – 6) |
What should be added to make a perfect square?
In order to be a perfect square, the constant term must be 25. Since it’s actually 21, we need to Add 4 to complete the square.
What must be added to 9×2 30x 22 to make it a whole square?
Answer: We must add 3 to make it a whole square. This is a perfect square.
What must be added to 9×2 24x 10 to make it a whole square?
Answer. Answer: 6 should be added.
What must be added to make it a perfect square?
Answer. Answer: 25 must be added to 600 to make it a perfect square.
What must be added to 9x 2 24x 16 to make it a perfect square?
But according to 9x – 24x + 16 which is mentioned in the question, Here, it seems that the polynomial 9x – 24x + 15 is 225x²/64, i.e., (15x/8)² is subtracted from a perfect square. From this, we can find that when we add 225x²/64 to this polynomial, it becomes a perfect square. Thus the answer would be 225x²/64.
What must be added to 9x 2 24x 10 to make it a perfect square?
Answer. Answer: 6 should be added.
What must be added to 9x 2 24x 16 to make it a perfect square?
But according to 9x – 24x + 16 which is mentioned in the question, Here, it seems that the polynomial 9x – 24x + 15 is 225x²/64, i.e., (15x/8)² is subtracted from a perfect square. From this, we can find that when we add 225x²/64 to this polynomial, it becomes a perfect square. Thus the answer would be 225x²/64.
What must be added to 9×2 30x 22 to make it a whole square?
Answer: We must add 3 to make it a whole square. This is a perfect square.
What must be added to make a perfect square?
In order to be a perfect square, the constant term must be 25. Since it’s actually 21, we need to Add 4 to complete the square. What would we have to add to x2 – 4x + 5 to make it a perfect square?
What must be added to 9×2 24x 10 to make it a whole square?
Answer. Answer: 6 should be added.
What must be added to make it a perfect square?
Answer. Answer: 25 must be added to 600 to make it a perfect square.
What must be added to 9x 2 24x 16 to make it a perfect square?
But according to 9x – 24x + 16 which is mentioned in the question, Here, it seems that the polynomial 9x – 24x + 15 is 225x²/64, i.e., (15x/8)² is subtracted from a perfect square. From this, we can find that when we add 225x²/64 to this polynomial, it becomes a perfect square. Thus the answer would be 225x²/64.
What must be added to 9x 2 24x 10 to make it a whole square?
- Answer:
- To make given quadratic equation a whole number , we have to add 6 in the equation.. ( 3 x – 4 )²
- Step-by-step explanation:
- Now if we add 6 to the equation , it will become whole square as (a + b)²
- Hence to make given quadratic equation a whole number , we have to add 6 in the equation.. Answer.